24:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Para la producción:@0.120347:0.192000:0.244164:0.192000:0.244164:0.177101:0.120347:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de yogur, ¿se usan :@0.122156:0.205830:0.247831:0.205830:0.247831:0.190931:0.122156:0.190931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bacterias?:@0.177657:0.219661:0.244162:0.219661:0.244162:0.204762:0.177657:0.204762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El número de bacterias en un cultivo se duplica cada hora. Inicialmente, hay 1 000 :@0.287495:0.168345:0.907731:0.168345:0.907731:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bacterias y después de 3 horas hay 8 000 bacterias.:@0.287495:0.184941:0.659321:0.184941:0.659321:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.212229:0.303011:0.212229:0.303011:0.195093:0.287495:0.195093:0.000000:0.000000
  ¿Cuál es la función que modela el crecimiento de la población de bacterias?:@0.303011:0.212229:0.871005:0.212229:0.871005:0.195840:0.303011:0.195840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.235948:0.304154:0.235948:0.304154:0.218812:0.287495:0.218812:0.000000:0.000000
  ¿Cuánto tiempo tomará para que alcance las 64 000 bacterias?:@0.304154:0.235948:0.773526:0.235948:0.773526:0.219559:0.304154:0.219559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pienso y progreso:@0.294758:0.266614:0.417222:0.266614:0.417222:0.251250:0.294758:0.251250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo ayuda o perjudica la presencia de bacterias en los cultivos?:@0.294758:0.284009:0.736696:0.284009:0.736696:0.269110:0.294758:0.269110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones exponenciales:@0.287495:0.352772:0.550921:0.352772:0.550921:0.331262:0.287495:0.331262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una ecuación exponencial es aquella en la que la incógnita aparece en el exponente.:@0.287495:0.375553:0.903679:0.375553:0.903679:0.359164:0.287495:0.359164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver una ecuación exponencial, se debe tomar en cuenta que: :@0.287495:0.399272:0.803930:0.399272:0.803930:0.382883:0.287495:0.382883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.806349:0.399931:0.815618:0.399931:0.815618:0.383570:0.806349:0.383570:0.000000
a a:@0.840753:0.399931:0.875900:0.400090:0.875900:0.383728:0.840753:0.383570:0.000000:0.000000:0.000000
x:@0.816767:0.392270:0.821093:0.392270:0.821093:0.382788:0.816767:0.382788:0.000000
y:@0.851316:0.392270:0.855652:0.392270:0.855652:0.382788:0.851316:0.382788:0.000000
=:@0.827447:0.399516:0.837564:0.399516:0.837564:0.382574:0.827447:0.382574:0.000000
, :@0.856998:0.399279:0.864240:0.399279:0.864240:0.382890:0.856998:0.382890:0.000000:0.000000
a:@0.918357:0.400090:0.927626:0.400090:0.927626:0.383728:0.918357:0.383728:0.000000
>:@0.879401:0.399675:0.889518:0.399675:0.889518:0.382732:0.879401:0.382732:0.000000
≠:@0.931128:0.399675:0.941244:0.399675:0.941244:0.382732:0.931128:0.382732:0.000000
0 y :@0.892430:0.400090:0.918339:0.400090:0.918339:0.383701:0.892430:0.383701:0.000000:0.000000:0.000000:0.000000
1:@0.943308:0.400090:0.952301:0.400090:0.952301:0.383701:0.943308:0.383701:0.000000
a:@0.250143:0.415825:0.259412:0.415825:0.259412:0.399463:0.250143:0.399463:0.000000
a:@0.301869:0.415825:0.311138:0.415825:0.311138:0.399463:0.301869:0.399463:0.000000
>:@0.262913:0.415410:0.273030:0.415410:0.273030:0.398468:0.262913:0.398468:0.000000
≠:@0.314639:0.415410:0.324756:0.415410:0.324756:0.398468:0.314639:0.398468:0.000000
0 y :@0.275941:0.415825:0.301851:0.415825:0.301851:0.399436:0.275941:0.399436:0.000000:0.000000:0.000000:0.000000
1 entonces   =  .:@0.326820:0.415825:0.449541:0.415875:0.449541:0.399486:0.326820:0.399436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.412336:0.415875:0.419799:0.415875:0.419799:0.399514:0.412336:0.399514:0.000000
y:@0.438853:0.415875:0.446335:0.415875:0.446335:0.399514:0.438853:0.399514:0.000000
Además, se puede aplicar uno de estos casos: igualar bases, tomar logaritmos a los :@0.287489:0.439594:0.907575:0.439594:0.907575:0.423205:0.287489:0.423205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos miembros de la igualdad o cambio de variable.:@0.287489:0.456190:0.661896:0.456190:0.661896:0.439801:0.287489:0.439801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.323426:0.480398:0.323426:0.480398:0.308061:0.306727:0.308061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.324211:0.297460:0.324211:0.297460:0.307076:0.284892:0.307076:0.000000
Ecuaciones exponenciales y logarítmicas:@0.286308:0.075160:0.883658:0.075160:0.883658:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Cambio de base:@0.128957:0.734967:0.244164:0.734967:0.244164:0.719602:0.128957:0.719602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   > 0 y   y   son :@0.121168:0.752355:0.247832:0.752355:0.247832:0.737456:0.121168:0.737456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.136111:0.752355:0.144587:0.752355:0.144587:0.737481:0.136111:0.737481:0.000000
a b:@0.184793:0.752355:0.216355:0.752355:0.216355:0.737481:0.184793:0.737481:0.000000:0.000000:0.000000
números reales diferentes :@0.072586:0.766185:0.247829:0.766185:0.247829:0.751286:0.072586:0.751286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 1, entonces se puede :@0.081364:0.780016:0.247831:0.780016:0.247831:0.765117:0.081364:0.765117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar un cambio:@0.121653:0.793846:0.244164:0.793846:0.244164:0.778947:0.121653:0.778947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de base::@0.189115:0.807676:0.244164:0.807676:0.244164:0.792777:0.189115:0.792777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.147904:0.830445:0.169365:0.830445:0.169365:0.815695:0.147904:0.815695:0.000000:0.000000:0.000000
log:@0.201288:0.822418:0.222748:0.822418:0.222748:0.807668:0.201288:0.807668:0.000000:0.000000:0.000000
log:@0.201241:0.840204:0.222702:0.840204:0.222702:0.825454:0.201241:0.825454:0.000000:0.000000:0.000000
b:@0.169012:0.832248:0.173847:0.832248:0.173847:0.823714:0.169012:0.823714:0.000000
a:@0.222540:0.824219:0.227375:0.824219:0.227375:0.815685:0.222540:0.815685:0.000000
a:@0.222489:0.842009:0.227324:0.842009:0.227324:0.833475:0.222489:0.833475:0.000000
u:@0.176975:0.830445:0.185367:0.830445:0.185367:0.815720:0.176975:0.815720:0.000000
u:@0.230499:0.822418:0.238891:0.822418:0.238891:0.807693:0.230499:0.807693:0.000000
b:@0.230735:0.840204:0.239077:0.840204:0.239077:0.825479:0.230735:0.825479:0.000000
=:@0.188709:0.830072:0.197814:0.830072:0.197814:0.814824:0.188709:0.814824:0.000000
     Matemática:@0.115206:0.702526:0.222747:0.702526:0.222747:0.685625:0.115206:0.685625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.306727:0.481375:0.431598:0.481375:0.431598:0.466011:0.306727:0.466011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.482161:0.297220:0.482161:0.297220:0.465025:0.285132:0.465025:0.000000
Ejemplos paso a paso:@0.287495:0.507474:0.442388:0.507474:0.442388:0.492110:0.287495:0.492110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.287495:0.535077:0.301722:0.535077:0.301722:0.518176:0.287495:0.518176:0.000000:0.000000
  Regresemos a nuestro problema inicial y respondamos las preguntas.:@0.301722:0.535077:0.822689:0.535077:0.822689:0.518688:0.301722:0.518688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.287495:0.739282:0.301722:0.739282:0.301722:0.722381:0.287495:0.722381:0.000000:0.000000
  Resolvemos las siguientes ecuaciones exponenciales por diferentes métodos.:@0.301722:0.739282:0.881676:0.739282:0.881676:0.722893:0.301722:0.722893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.315985:0.763001:0.330893:0.763001:0.330893:0.746100:0.315985:0.746100:0.000000:0.000000
  Por igualación de bases:@0.330893:0.763001:0.516831:0.763001:0.516831:0.746612:0.330893:0.746612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.372174:0.791756:0.381166:0.791756:0.381166:0.775367:0.372174:0.775367:0.000000
27 , a exponentes:@0.431271:0.791756:0.559913:0.791438:0.559913:0.775049:0.431271:0.775367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.393742:0.784094:0.398954:0.784094:0.398954:0.774596:0.393742:0.774596:0.000000
2:@0.347361:0.784174:0.352572:0.784174:0.352572:0.774676:0.347361:0.774676:0.000000
1:@0.365004:0.784174:0.370215:0.784174:0.370215:0.774676:0.365004:0.774676:0.000000
x:@0.381707:0.784094:0.386032:0.784094:0.386032:0.774612:0.381707:0.774612:0.000000
x:@0.353651:0.784174:0.357976:0.784174:0.357976:0.774692:0.353651:0.774692:0.000000
−:@0.387474:0.783854:0.393337:0.783854:0.393337:0.774035:0.387474:0.774035:0.000000
−:@0.359418:0.783934:0.365281:0.783934:0.365281:0.774115:0.359418:0.774115:0.000000
=:@0.405730:0.791341:0.415847:0.791341:0.415847:0.774399:0.405730:0.774399:0.000000
fraccionarios:@0.344477:0.808035:0.437537:0.808035:0.437537:0.791646:0.344477:0.791646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.346992:0.835948:0.355984:0.835948:0.355984:0.819559:0.346992:0.819559:0.000000
3 , igualamos:@0.397096:0.835948:0.499819:0.836155:0.499819:0.819767:0.397096:0.819559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.371021:0.819013:0.376233:0.819013:0.376233:0.809515:0.371021:0.809515:0.000000
2:@0.356572:0.830291:0.361783:0.830291:0.361783:0.820792:0.356572:0.820792:0.000000
1:@0.374214:0.830291:0.379426:0.830291:0.379426:0.820792:0.374214:0.820792:0.000000
3:@0.406670:0.819013:0.411882:0.819013:0.411882:0.809515:0.406670:0.809515:0.000000
2:@0.406670:0.830291:0.411882:0.830291:0.411882:0.820792:0.406670:0.820792:0.000000
x:@0.358975:0.819013:0.363300:0.819013:0.363300:0.809531:0.358975:0.809531:0.000000
x:@0.362851:0.830291:0.367177:0.830291:0.367177:0.820808:0.362851:0.820808:0.000000
−:@0.364731:0.818773:0.370594:0.818773:0.370594:0.808954:0.364731:0.808954:0.000000
−:@0.368608:0.830050:0.374471:0.830050:0.374471:0.820231:0.368608:0.820231:0.000000
=:@0.384056:0.835533:0.394173:0.835533:0.394173:0.818591:0.384056:0.818591:0.000000
los exponentes:@0.344474:0.852752:0.455996:0.852752:0.455996:0.836363:0.344474:0.836363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.352227:0.872794:0.359690:0.872794:0.359690:0.856433:0.352227:0.856433:0.000000
x:@0.358253:0.892406:0.365716:0.892406:0.365716:0.876045:0.358253:0.876045:0.000000
x:@0.356778:0.918462:0.364242:0.918462:0.364242:0.902101:0.356778:0.902101:0.000000
x:@0.417147:0.918462:0.424610:0.918462:0.424610:0.902101:0.417147:0.902101:0.000000
x:@0.459494:0.918462:0.466957:0.918462:0.466957:0.902101:0.459494:0.902101:0.000000
−:@0.363798:0.872380:0.373914:0.872380:0.373914:0.855437:0.363798:0.855437:0.000000
−:@0.369817:0.891986:0.379933:0.891986:0.379933:0.875044:0.369817:0.875044:0.000000
=:@0.391856:0.881143:0.401973:0.881143:0.401973:0.864201:0.391856:0.864201:0.000000
−=:@0.368342:0.918042:0.403595:0.918042:0.403595:0.901100:0.368342:0.901100:0.000000:0.000000
−:@0.428713:0.918035:0.438830:0.918035:0.438830:0.901093:0.428713:0.901093:0.000000
=:@0.471686:0.918035:0.481803:0.918035:0.481803:0.901093:0.471686:0.901093:0.000000
−:@0.486770:0.909274:0.496887:0.909274:0.496887:0.892332:0.486770:0.892332:0.000000
3:@0.376204:0.872789:0.385197:0.872789:0.385197:0.856401:0.376204:0.856401:0.000000
2:@0.348452:0.892401:0.357445:0.892401:0.357445:0.876012:0.348452:0.876012:0.000000
1 2:@0.381069:0.892401:0.415345:0.892401:0.415345:0.876012:0.381069:0.876012:0.000000:0.000000:0.000000
3:@0.406352:0.872789:0.415345:0.872789:0.415345:0.856401:0.406352:0.856401:0.000000
2:@0.346978:0.918457:0.355971:0.918457:0.355971:0.902068:0.346978:0.902068:0.000000
6 6:@0.381014:0.918457:0.415750:0.918457:0.415750:0.902068:0.381014:0.902068:0.000000:0.000000:0.000000
3; :@0.441107:0.918457:0.459506:0.918450:0.459506:0.902061:0.441107:0.902068:0.000000:0.000000:0.000000
3:@0.496795:0.909689:0.505788:0.909689:0.505788:0.893300:0.496795:0.893300:0.000000
4:@0.491481:0.929294:0.500474:0.929294:0.500474:0.912905:0.491481:0.912905:0.000000
Paso 1. :@0.293257:0.561132:0.348891:0.561132:0.348891:0.545554:0.293257:0.545554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Construimos una tabla para :@0.348891:0.561132:0.536619:0.561132:0.536619:0.546233:0.348891:0.546233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar el modelo de crecimiento :@0.293257:0.576220:0.546732:0.576220:0.546732:0.561321:0.293257:0.561321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial.:@0.293257:0.591307:0.377670:0.591307:0.377670:0.576408:0.293257:0.576408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pt:@0.297374:0.666963:0.316889:0.666963:0.316889:0.650602:0.297374:0.650602:0.000000:0.000000
t:@0.400360:0.659302:0.403478:0.659302:0.403478:0.649820:0.400360:0.649820:0.000000
() 1 000 2:@0.306602:0.666963:0.400748:0.666963:0.400748:0.650574:0.306602:0.650574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.326338:0.666548:0.336454:0.666548:0.336454:0.649606:0.326338:0.649606:0.000000
×:@0.379243:0.666548:0.389360:0.666548:0.389360:0.649606:0.379243:0.649606:0.000000
Paso 2.:@0.594736:0.561132:0.646987:0.561132:0.646987:0.545554:0.594736:0.545554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la población de bacterias es de:@0.650371:0.561132:0.871214:0.561132:0.871214:0.546233:0.650371:0.546233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
64 000 reemplazamos en la ecuación:@0.594736:0.576220:0.841549:0.576220:0.841549:0.561321:0.594736:0.561321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
64 000 1000 2:@0.687648:0.594585:0.801155:0.594585:0.801155:0.579835:0.687648:0.579835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.735910:0.594212:0.745015:0.594212:0.745015:0.578964:0.735910:0.578964:0.000000
×:@0.782414:0.594212:0.791519:0.594212:0.791519:0.578964:0.782414:0.578964:0.000000
t:@0.800774:0.587691:0.803580:0.587691:0.803580:0.579157:0.800774:0.579157:0.000000
Dividimos para mil y descomponemos 64 en :@0.594736:0.613523:0.896061:0.613523:0.896061:0.598624:0.594736:0.598624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base 2.:@0.594736:0.628610:0.640721:0.628610:0.640721:0.613711:0.594736:0.613711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
64 2 ; 2:@0.700790:0.643738:0.761788:0.643738:0.761788:0.628988:0.700790:0.628988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.783184:0.643738:0.791278:0.643738:0.791278:0.628988:0.783184:0.628988:0.000000
6:@0.761712:0.636842:0.766403:0.636842:0.766403:0.628294:0.761712:0.628294:0.000000
=:@0.720014:0.643365:0.729119:0.643365:0.729119:0.628117:0.720014:0.628117:0.000000
=:@0.771457:0.643365:0.780562:0.643365:0.780562:0.628117:0.771457:0.628117:0.000000
t:@0.739473:0.636842:0.742280:0.636842:0.742280:0.628308:0.739473:0.628308:0.000000
t:@0.790925:0.636842:0.793731:0.636842:0.793731:0.628308:0.790925:0.628308:0.000000
Como las bases son iguales, entonces :@0.594736:0.662350:0.848448:0.662350:0.848448:0.647451:0.594736:0.647451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualamos los exponentes:    = 6:@0.594736:0.677438:0.809582:0.677438:0.809582:0.662539:0.594736:0.662539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.779193:0.677438:0.784085:0.677438:0.784085:0.662564:0.779193:0.662564:0.000000
Paso 3.:@0.293260:0.696561:0.345511:0.696561:0.345511:0.680983:0.293260:0.680983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Respondemos la pregunta: para que el cultivo alcance las 64 000 bacterias, :@0.345511:0.696561:0.849429:0.696561:0.849429:0.681662:0.345511:0.681662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasarán 6 h.:@0.293260:0.711649:0.372901:0.711649:0.372901:0.696750:0.293260:0.696750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo (h):@0.298725:0.616352:0.372217:0.616352:0.372217:0.600987:0.298725:0.600987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.397865:0.616352:0.406040:0.616352:0.406040:0.601453:0.397865:0.601453:0.000000
1:@0.450099:0.616352:0.458274:0.616352:0.458274:0.601453:0.450099:0.601453:0.000000
2:@0.502333:0.616352:0.510508:0.616352:0.510508:0.601453:0.502333:0.601453:0.000000
3:@0.554567:0.616352:0.562742:0.616352:0.562742:0.601453:0.554567:0.601453:0.000000
N.° bact.:@0.307352:0.637738:0.363573:0.637738:0.363573:0.622374:0.307352:0.622374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 000 2 000 4 000 8 000:@0.383760:0.637738:0.576831:0.637738:0.576831:0.622839:0.383760:0.622839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.594974:0.761936:0.611190:0.761936:0.611190:0.745035:0.594974:0.745035:0.000000:0.000000
  Aplicando logaritmos:@0.611190:0.761936:0.781482:0.761936:0.781482:0.745547:0.611190:0.745547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.625979:0.784610:0.634972:0.784610:0.634972:0.768221:0.625979:0.768221:0.000000
21, tomamos logaritmos:@0.676913:0.784610:0.855569:0.783927:0.855569:0.767538:0.676913:0.768221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.650847:0.776320:0.656058:0.776320:0.656058:0.766822:0.650847:0.766822:0.000000
x:@0.639334:0.776320:0.643659:0.776320:0.643659:0.766838:0.639334:0.766838:0.000000
+:@0.645090:0.776080:0.650953:0.776080:0.650953:0.766261:0.645090:0.766261:0.000000
(:@0.634459:0.777082:0.638016:0.777082:0.638016:0.764524:0.634459:0.764524:0.000000
):@0.654879:0.777082:0.658435:0.777082:0.658435:0.764524:0.654879:0.764524:0.000000
=:@0.663882:0.784195:0.673998:0.784195:0.673998:0.767253:0.663882:0.767253:0.000000
log 5:@0.625410:0.811422:0.667324:0.811423:0.667324:0.795034:0.625410:0.795033:0.000000:0.000000:0.000000:0.000000:0.000000
log 21 , por propiedades:@0.717173:0.811423:0.903324:0.812048:0.903324:0.795659:0.717173:0.795034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.683199:0.803133:0.688410:0.803133:0.688410:0.793635:0.683199:0.793635:0.000000
x:@0.671686:0.803133:0.676011:0.803133:0.676011:0.793651:0.671686:0.793651:0.000000
+:@0.677442:0.802893:0.683305:0.802893:0.683305:0.793074:0.677442:0.793074:0.000000
(:@0.666813:0.803895:0.670370:0.803895:0.670370:0.791337:0.666813:0.791337:0.000000
):@0.687233:0.803895:0.690789:0.803895:0.690789:0.791337:0.687233:0.791337:0.000000
:@0.651002:0.809122:0.658079:0.809122:0.658079:0.792180:0.651002:0.792180:0.000000
:@0.651002:0.817642:0.658079:0.817642:0.658079:0.800700:0.651002:0.800700:0.000000
 =:@0.693662:0.809122:0.714817:0.811003:0.714817:0.794061:0.693662:0.792180:0.000000:0.000000:0.000000
:@0.693662:0.817642:0.700739:0.817642:0.700739:0.800700:0.693662:0.800700:0.000000
():@0.741938:0.812758:0.771053:0.812758:0.771053:0.791106:0.741938:0.791106:0.000000:0.000000
x:@0.634464:0.840594:0.641928:0.840594:0.641928:0.824232:0.634464:0.824232:0.000000
+:@0.646037:0.840179:0.656154:0.840179:0.656154:0.823237:0.646037:0.823237:0.000000
(:@0.625979:0.841927:0.632116:0.841927:0.632116:0.820275:0.625979:0.820275:0.000000
):@0.664622:0.841927:0.670758:0.841927:0.670758:0.820275:0.664622:0.820275:0.000000
():@0.696281:0.841927:0.718799:0.841927:0.718799:0.820275:0.696281:0.820275:0.000000:0.000000
=:@0.721991:0.840178:0.732107:0.840178:0.732107:0.823235:0.721991:0.823235:0.000000
():@0.759213:0.841927:0.788328:0.841927:0.788328:0.820275:0.759213:0.820275:0.000000:0.000000
1 log:@0.657599:0.840592:0.695376:0.840592:0.695376:0.824204:0.657599:0.824204:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.703355:0.840592:0.712348:0.840592:0.712348:0.824204:0.703355:0.824204:0.000000
21 , despejamos:@0.766286:0.840592:0.887263:0.841007:0.887263:0.824618:0.766286:0.824204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.734461:0.840592:0.758306:0.840592:0.758306:0.824204:0.734461:0.824204:0.000000:0.000000:0.000000
x:@0.634459:0.874909:0.641923:0.874909:0.641923:0.858548:0.634459:0.858548:0.000000
x:@0.627383:0.907632:0.634846:0.907632:0.634846:0.891270:0.627383:0.891270:0.000000
+ =:@0.646013:0.874494:0.684050:0.874494:0.684050:0.857552:0.646013:0.857552:0.000000:0.000000:0.000000
(:@0.625979:0.876244:0.632116:0.876244:0.632116:0.854592:0.625979:0.854592:0.000000
):@0.664622:0.876244:0.670758:0.876244:0.670758:0.854592:0.664622:0.854592:0.000000
():@0.712621:0.866304:0.741737:0.866304:0.741737:0.844652:0.712621:0.844652:0.000000:0.000000
():@0.715918:0.887088:0.738436:0.887088:0.738436:0.865436:0.715918:0.865436:0.000000:0.000000
():@0.809261:0.866304:0.838376:0.866304:0.838376:0.844652:0.809261:0.844652:0.000000:0.000000
():@0.812559:0.887088:0.835078:0.887088:0.835078:0.865436:0.812559:0.865436:0.000000:0.000000
−:@0.842398:0.874494:0.852515:0.874494:0.852515:0.857552:0.842398:0.857552:0.000000
=:@0.639584:0.907217:0.649701:0.907217:0.649701:0.890275:0.639584:0.890275:0.000000
1:@0.657588:0.874909:0.666580:0.874909:0.666580:0.858520:0.657588:0.858520:0.000000
21:@0.719670:0.864965:0.737564:0.864965:0.737564:0.848576:0.719670:0.848576:0.000000:0.000000
5:@0.722969:0.885752:0.731962:0.885752:0.731962:0.869363:0.722969:0.869363:0.000000
21:@0.816305:0.864965:0.834198:0.864965:0.834198:0.848576:0.816305:0.848576:0.000000:0.000000
5:@0.819603:0.885752:0.828596:0.885752:0.828596:0.869363:0.819603:0.869363:0.000000
1;:@0.853639:0.874909:0.862908:0.874909:0.862908:0.858520:0.853639:0.858520:0.000000:0.000000
0 8917:@0.652612:0.907632:0.702385:0.907632:0.702385:0.891243:0.652612:0.891243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.687846:0.864965:0.711691:0.864965:0.711691:0.848576:0.687846:0.848576:0.000000:0.000000:0.000000
log:@0.691144:0.885752:0.714990:0.885752:0.714990:0.869363:0.691144:0.869363:0.000000:0.000000:0.000000
; x =:@0.744806:0.874909:0.777441:0.874909:0.777441:0.858520:0.744806:0.858520:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.784480:0.864965:0.808326:0.864965:0.808326:0.848576:0.784480:0.848576:0.000000:0.000000:0.000000
log:@0.787779:0.885752:0.811624:0.885752:0.811624:0.869363:0.787779:0.869363:0.000000:0.000000:0.000000
,:@0.661808:0.907632:0.665014:0.907632:0.665014:0.891243:0.661808:0.891243:0.000000
©Shutterstock:@0.068421:0.291703:0.068421:0.248877:0.056510:0.248877:0.056510:0.291703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el análisis de bacterias :@0.073803:0.440508:0.228069:0.440508:0.228069:0.427099:0.073803:0.427099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están presentes las:@0.073803:0.453080:0.187031:0.453080:0.187031:0.439671:0.073803:0.439671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones exponenciales.:@0.073803:0.465651:0.233814:0.465651:0.233814:0.452242:0.073803:0.452242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.77.:@0.298180:0.946788:0.353208:0.946788:0.353208:0.934325:0.298180:0.934325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades de los exponentes y los logaritmos para resolver ecuaciones con funciones :@0.357544:0.946788:0.906525:0.946788:0.906525:0.934868:0.357544:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponenciales y logarítmicas, con ayuda de las TIC.:@0.298180:0.958103:0.567689:0.958103:0.567689:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000