42:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115891:0.622565:0.273013:0.622565:0.273013:0.604128:0.115891:0.604128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115891:0.642412:0.134613:0.642412:0.134613:0.625511:0.115891:0.625511:0.000000:0.000000:0.000000
Se conoce que log 4    0,602 06, :@0.149132:0.642412:0.378158:0.642412:0.378158:0.626023:0.149132:0.626023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.278172:0.643089:0.298643:0.643089:0.298643:0.627516:0.278172:0.627516:0.000000:0.000000:0.000000
calculamos:@0.377255:0.642412:0.459821:0.642412:0.459821:0.625788:0.377255:0.625788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor aproximado de log:@0.459641:0.642412:0.647408:0.642412:0.647408:0.626023:0.459641:0.626023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.647228:0.643089:0.653241:0.643089:0.653241:0.627516:0.647228:0.627516:0.000000
√ 16:@0.653066:0.643077:0.679602:0.643077:0.679602:0.626688:0.653066:0.626688:0.000000:0.000000:0.000000:0.000000
3:@0.655184:0.634535:0.660426:0.634535:0.660426:0.624980:0.655184:0.624980:0.000000
):@0.680167:0.643089:0.686180:0.643089:0.686180:0.627516:0.680167:0.627516:0.000000
 con cuatro cifras decimales.:@0.686000:0.642412:0.879900:0.642412:0.879900:0.626023:0.686000:0.626023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
         Solución:@0.115891:0.666136:0.219434:0.666136:0.219434:0.649235:0.115891:0.649235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Conocemos que: :@0.115891:0.689855:0.276965:0.689855:0.276965:0.673466:0.115891:0.673466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado como base un número   positivo y diferente de 1, se llama logaritmo a un número real y positivo :@0.115209:0.167747:0.883936:0.167747:0.883936:0.151358:0.115209:0.151358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.334424:0.167747:0.343693:0.167747:0.343693:0.151385:0.334424:0.151385:0.000000
N:@0.115209:0.184343:0.126468:0.184343:0.126468:0.167982:0.115209:0.167982:0.000000
, con respecto a dicha base, al exponente   al que se debe elevar la base   para obtener el número  .:@0.126468:0.184343:0.863992:0.184343:0.863992:0.167954:0.126468:0.167954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.432195:0.184343:0.439659:0.184343:0.439659:0.167982:0.432195:0.167982:0.000000
a:@0.657418:0.184343:0.666687:0.184343:0.666687:0.167982:0.657418:0.167982:0.000000
N:@0.849526:0.184343:0.860785:0.184343:0.860785:0.167982:0.849526:0.167982:0.000000
Si :@0.115209:0.204508:0.131646:0.204508:0.131646:0.188119:0.115209:0.188119:0.000000:0.000000:0.000000
a  = N:@0.131646:0.204508:0.174142:0.204514:0.174142:0.188153:0.131646:0.188146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.140915:0.198467:0.145266:0.198467:0.145266:0.188928:0.140915:0.188928:0.000000
 :@0.174142:0.204514:0.178178:0.204514:0.178178:0.188125:0.174142:0.188125:0.000000
x :@0.115210:0.224678:0.125991:0.224678:0.125991:0.208317:0.115210:0.208317:0.000000:0.000000
es el logaritmo de   en base  :       = log:@0.125991:0.224678:0.421292:0.224678:0.421292:0.208290:0.125991:0.208290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.261856:0.224678:0.273115:0.224678:0.273115:0.208317:0.261856:0.208317:0.000000
a:@0.338386:0.224678:0.347655:0.224678:0.347655:0.208317:0.338386:0.208317:0.000000
x:@0.371039:0.224678:0.378503:0.224678:0.378503:0.208317:0.371039:0.208317:0.000000
a:@0.421285:0.227837:0.426689:0.227837:0.426689:0.218299:0.421285:0.218299:0.000000
( ):@0.426689:0.225351:0.450222:0.225351:0.450222:0.209778:0.426689:0.209778:0.000000:0.000000:0.000000
N:@0.432826:0.224673:0.444085:0.224673:0.444085:0.208312:0.432826:0.208312:0.000000
        :@0.450222:0.224673:0.482507:0.224673:0.482507:0.208284:0.450222:0.208284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la base   tiene el valor de 10, se escribe únicamente   = log:@0.115207:0.244838:0.565204:0.244838:0.565204:0.228449:0.115207:0.228449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.186338:0.244838:0.195607:0.244838:0.195607:0.228477:0.186338:0.228477:0.000000
x:@0.514952:0.244838:0.522415:0.244838:0.522415:0.228477:0.514952:0.228477:0.000000
( ):@0.565204:0.245516:0.588737:0.245516:0.588737:0.229943:0.565204:0.229943:0.000000:0.000000:0.000000
N:@0.571341:0.244838:0.582600:0.244838:0.582600:0.228477:0.571341:0.228477:0.000000
.:@0.588737:0.244838:0.591943:0.244838:0.591943:0.228449:0.588737:0.228449:0.000000
Función logarítmica:@0.115891:0.141978:0.399844:0.141978:0.399844:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M. 5.1.75. Reconocer la función logarítmica como la función inversa de la función exponencial para calcular el logaritmo de un número y graficarla analizando esta :@0.125388:0.069719:0.877722:0.069719:0.877722:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación para determinar sus características.:@0.125388:0.080280:0.327435:0.080280:0.327435:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.053646:0.122645:0.076865:0.122645:0.076865:0.065614:0.053646:0.065614:0.000000:0.000000
Propiedades:@0.262504:0.274831:0.353269:0.274831:0.353269:0.259467:0.262504:0.259467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.657878:0.274831:0.720649:0.274831:0.720649:0.259467:0.657878:0.259467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.237471:0.359599:0.250639:0.359599:0.250639:0.344874:0.237471:0.344874:0.000000
n:@0.240058:0.377100:0.248616:0.377100:0.248616:0.362375:0.240058:0.362375:0.000000
n:@0.222163:0.414268:0.230721:0.414268:0.230721:0.399543:0.222163:0.399543:0.000000
a:@0.181729:0.429827:0.190072:0.429827:0.190072:0.415102:0.181729:0.415102:0.000000
l:@0.220886:0.486051:0.224303:0.486051:0.224303:0.471326:0.220886:0.471326:0.000000
a:@0.257638:0.486051:0.265980:0.486051:0.265980:0.471326:0.257638:0.471326:0.000000
a:@0.173723:0.300370:0.178558:0.300370:0.178558:0.291836:0.173723:0.291836:0.000000
a:@0.248543:0.300370:0.253378:0.300370:0.253378:0.291836:0.248543:0.291836:0.000000
a:@0.313797:0.300370:0.318632:0.300370:0.318632:0.291836:0.313797:0.291836:0.000000
a:@0.173723:0.329968:0.178558:0.329968:0.178558:0.321434:0.173723:0.321434:0.000000
a:@0.248120:0.329968:0.252954:0.329968:0.252954:0.321434:0.248120:0.321434:0.000000
a:@0.313373:0.329968:0.318208:0.329968:0.318208:0.321434:0.313373:0.321434:0.000000
a:@0.173723:0.369466:0.178558:0.369466:0.178558:0.360932:0.173723:0.360932:0.000000
m:@0.202702:0.352492:0.210334:0.352492:0.210334:0.343958:0.202702:0.343958:0.000000
n:@0.204212:0.362570:0.209171:0.362570:0.209171:0.354036:0.204212:0.354036:0.000000
a:@0.273329:0.369466:0.278164:0.369466:0.278164:0.360932:0.273329:0.360932:0.000000
a:@0.173723:0.406631:0.178558:0.406631:0.178558:0.398097:0.173723:0.398097:0.000000
n:@0.183191:0.398819:0.188150:0.398819:0.188150:0.390285:0.183191:0.390285:0.000000
a:@0.253154:0.406631:0.257989:0.406631:0.257989:0.398097:0.253154:0.398097:0.000000
a:@0.173714:0.431634:0.178548:0.431634:0.178548:0.423100:0.173714:0.423100:0.000000
a:@0.173714:0.450303:0.178548:0.450303:0.178548:0.441769:0.173714:0.441769:0.000000
a:@0.173714:0.478415:0.178548:0.478415:0.178548:0.469882:0.173714:0.469882:0.000000
b:@0.241044:0.469997:0.245878:0.469997:0.245878:0.461463:0.241044:0.461463:0.000000
b:@0.243821:0.487851:0.248656:0.487851:0.248656:0.479317:0.243821:0.479317:0.000000
αβ:@0.185423:0.299101:0.204893:0.299101:0.209648:0.282883:0.190177:0.282883:0.000000:0.000000
α:@0.260245:0.299101:0.270711:0.299101:0.275465:0.282883:0.265000:0.282883:0.000000
β:@0.326540:0.299101:0.335645:0.299101:0.340399:0.282883:0.331294:0.282883:0.000000
α:@0.189526:0.320635:0.199991:0.320635:0.204745:0.304416:0.194280:0.304416:0.000000
β:@0.190947:0.338136:0.200052:0.338136:0.204806:0.321917:0.195701:0.321917:0.000000
α:@0.259818:0.328698:0.203994:0.328698:0.208748:0.312480:0.264573:0.312480:0.000000
β:@0.326108:0.328698:0.270284:0.328698:0.275038:0.312480:0.330863:0.312480:0.000000
α:@0.188204:0.368194:0.101847:0.368194:0.106601:0.351975:0.192958:0.351975:0.000000
α:@0.285027:0.368194:0.198669:0.368194:0.203423:0.351975:0.289781:0.351975:0.000000
α:@0.190887:0.405362:0.127367:0.405362:0.132122:0.389143:0.195642:0.389143:0.000000
α:@0.264863:0.405362:0.201343:0.405362:0.206097:0.389143:0.269617:0.389143:0.000000
α:@0.185419:0.477146:0.195884:0.477146:0.200638:0.460927:0.190173:0.460927:0.000000
α:@0.252749:0.468731:0.263214:0.468731:0.267968:0.452513:0.257503:0.452513:0.000000
( ):@0.181026:0.300761:0.213688:0.300761:0.213688:0.279515:0.181026:0.279515:0.000000:0.000000:0.000000
( ):@0.255847:0.300761:0.279886:0.300761:0.279886:0.279515:0.255847:0.279515:0.000000:0.000000:0.000000
():@0.321103:0.300761:0.344438:0.300761:0.344438:0.279515:0.321103:0.279515:0.000000:0.000000
( ):@0.255425:0.330357:0.279465:0.330357:0.279465:0.309110:0.255425:0.309110:0.000000:0.000000:0.000000
():@0.320682:0.330357:0.344017:0.330357:0.344017:0.309110:0.320682:0.309110:0.000000:0.000000
( ):@0.280630:0.369859:0.304670:0.369859:0.304670:0.348612:0.280630:0.348612:0.000000:0.000000:0.000000
( ):@0.260463:0.407020:0.284503:0.407020:0.284503:0.385774:0.260463:0.385774:0.000000:0.000000:0.000000
( ):@0.181022:0.478799:0.205061:0.478799:0.205061:0.457552:0.181022:0.457552:0.000000:0.000000:0.000000
( ):@0.248356:0.470385:0.272396:0.470385:0.272396:0.449138:0.248356:0.449138:0.000000:0.000000:0.000000
():@0.251142:0.488240:0.272404:0.488240:0.272404:0.466993:0.251142:0.466993:0.000000:0.000000
=:@0.216080:0.299101:0.159459:0.299101:0.159459:0.282883:0.216080:0.282883:0.000000
+:@0.281806:0.299101:0.225185:0.299101:0.225185:0.282883:0.281806:0.282883:0.000000
⎛:@0.181401:0.320349:0.187770:0.320349:0.187770:0.304130:0.181401:0.304130:0.000000
⎝:@0.181401:0.338099:0.187770:0.338099:0.187770:0.321880:0.181401:0.321880:0.000000
⎜:@0.181401:0.332871:0.187770:0.332871:0.187770:0.316652:0.181401:0.316652:0.000000
⎞:@0.204636:0.320349:0.211005:0.320349:0.211005:0.304130:0.204636:0.304130:0.000000
⎠:@0.204636:0.338099:0.211005:0.338099:0.211005:0.321880:0.204636:0.321880:0.000000
⎟:@0.204636:0.332871:0.211005:0.332871:0.211005:0.316652:0.204636:0.316652:0.000000
=:@0.215665:0.328701:0.224770:0.328701:0.224770:0.312482:0.215665:0.312482:0.000000
−:@0.281391:0.328701:0.290496:0.328701:0.290496:0.312482:0.281391:0.312482:0.000000
⎛:@0.181418:0.359321:0.187786:0.359321:0.187786:0.343103:0.181418:0.343103:0.000000
⎝:@0.181418:0.378129:0.187786:0.378129:0.187786:0.361910:0.181418:0.361910:0.000000
⎜:@0.181418:0.372901:0.187786:0.372901:0.187786:0.356683:0.181418:0.356683:0.000000
⎞:@0.213078:0.359321:0.219447:0.359321:0.219447:0.343103:0.213078:0.343103:0.000000
⎠:@0.213078:0.378129:0.219447:0.378129:0.219447:0.361910:0.213078:0.361910:0.000000
⎟:@0.213078:0.372901:0.219447:0.372901:0.219447:0.356683:0.213078:0.356683:0.000000
=:@0.224107:0.368196:0.233212:0.368196:0.233212:0.351978:0.224107:0.351978:0.000000
=:@0.208467:0.405364:0.217573:0.405364:0.217573:0.389145:0.208467:0.389145:0.000000
=:@0.193110:0.430370:0.202215:0.430370:0.202215:0.414152:0.193110:0.414152:0.000000
=:@0.188632:0.449041:0.197737:0.449041:0.197737:0.432823:0.188632:0.432823:0.000000
=:@0.207472:0.477160:0.216578:0.477160:0.216578:0.460941:0.207472:0.460941:0.000000
log:@0.152626:0.298579:0.173712:0.298579:0.173712:0.283829:0.152626:0.283829:0.000000:0.000000:0.000000
log:@0.227449:0.298579:0.248535:0.298579:0.248535:0.283829:0.227449:0.283829:0.000000:0.000000:0.000000
log:@0.292707:0.298579:0.313793:0.298579:0.313793:0.283829:0.292707:0.283829:0.000000:0.000000:0.000000
log:@0.152626:0.328178:0.173712:0.328178:0.173712:0.313428:0.152626:0.313428:0.000000:0.000000:0.000000
log:@0.227024:0.328178:0.248110:0.328178:0.248110:0.313428:0.227024:0.313428:0.000000:0.000000:0.000000
log:@0.292282:0.328178:0.313368:0.328178:0.313368:0.313428:0.292282:0.313428:0.000000:0.000000:0.000000
log:@0.152626:0.367674:0.173712:0.367674:0.173712:0.352924:0.152626:0.352924:0.000000:0.000000:0.000000
log:@0.252232:0.367674:0.273318:0.367674:0.273318:0.352924:0.252232:0.352924:0.000000:0.000000:0.000000
log:@0.152626:0.404841:0.173712:0.404841:0.173712:0.390091:0.152626:0.390091:0.000000:0.000000:0.000000
1:@0.222880:0.396775:0.230973:0.396775:0.230973:0.382025:0.222880:0.382025:0.000000
log:@0.232068:0.404841:0.253154:0.404841:0.253154:0.390091:0.232068:0.390091:0.000000:0.000000:0.000000
log:@0.152626:0.429848:0.173712:0.429848:0.173712:0.415098:0.152626:0.415098:0.000000:0.000000:0.000000
1:@0.204126:0.429848:0.212219:0.429848:0.212219:0.415098:0.204126:0.415098:0.000000
log 1 0:@0.152626:0.448519:0.208779:0.448519:0.208779:0.433769:0.152626:0.433769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.152626:0.476637:0.173712:0.476637:0.173712:0.461887:0.152626:0.461887:0.000000:0.000000:0.000000
log:@0.220143:0.468223:0.241229:0.468223:0.241229:0.453473:0.220143:0.453473:0.000000:0.000000:0.000000
og:@0.226363:0.486085:0.244009:0.486085:0.244009:0.471334:0.226363:0.471334:0.000000:0.000000
i.  :@0.122474:0.296456:0.138188:0.296456:0.138188:0.280879:0.122474:0.280879:0.000000:0.000000:0.000000:0.000000
ii. :@0.122474:0.326468:0.139394:0.326468:0.139394:0.310890:0.122474:0.310890:0.000000:0.000000:0.000000:0.000000
iii. :@0.122474:0.367670:0.143984:0.367670:0.143984:0.352092:0.122474:0.352092:0.000000:0.000000:0.000000:0.000000:0.000000
iv.:@0.122474:0.405100:0.139495:0.405100:0.139495:0.389522:0.122474:0.389522:0.000000:0.000000:0.000000
v.:@0.122474:0.429957:0.134905:0.429957:0.134905:0.414379:0.122474:0.414379:0.000000:0.000000
vi.:@0.122474:0.448540:0.140299:0.448540:0.140299:0.432962:0.122474:0.432962:0.000000:0.000000:0.000000
vii.:@0.122474:0.477168:0.144889:0.477168:0.144889:0.461590:0.122474:0.461590:0.000000:0.000000:0.000000:0.000000
Propiedades generales:@0.506707:0.294495:0.671666:0.294495:0.671666:0.279131:0.506707:0.279131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.506707:0.313141:0.519942:0.313141:0.519942:0.297563:0.506707:0.297563:0.000000:0.000000:0.000000
No existen logaritmos de números negativos.:@0.539944:0.313141:0.841651:0.313141:0.841651:0.298242:0.539944:0.298242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.506707:0.331787:0.524532:0.331787:0.524532:0.316209:0.506707:0.316209:0.000000:0.000000:0.000000:0.000000
No existe logaritmo de una base negativa.:@0.539944:0.331787:0.819908:0.331787:0.819908:0.316888:0.539944:0.316888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii) :@0.506707:0.350432:0.529122:0.350432:0.529122:0.334854:0.506707:0.334854:0.000000:0.000000:0.000000:0.000000:0.000000
No existe el logaritmo si la base es la unidad.:@0.539944:0.350432:0.835652:0.350432:0.835652:0.335533:0.539944:0.335533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iv) :@0.506707:0.369078:0.528820:0.369078:0.528820:0.353500:0.506707:0.353500:0.000000:0.000000:0.000000:0.000000
Si la base es mayor que 1;   > 1.:@0.539944:0.369078:0.750019:0.369078:0.750019:0.354179:0.539944:0.354179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.713181:0.369078:0.721607:0.369078:0.721607:0.354204:0.713181:0.354204:0.000000
• :@0.539944:0.387724:0.548655:0.387724:0.548655:0.372360:0.539944:0.372360:0.000000:0.000000
Si un número es mayor que 1, su logaritmo es :@0.573181:0.387724:0.875495:0.387724:0.875495:0.372825:0.573181:0.372825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positivo.:@0.573181:0.402812:0.628748:0.402812:0.628748:0.387913:0.573181:0.387913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.539944:0.421457:0.548655:0.421457:0.548655:0.406093:0.539944:0.406093:0.000000:0.000000
Si un número es menor que 1, pero mayor :@0.573181:0.421457:0.875511:0.421457:0.875511:0.406558:0.573181:0.406558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cero, su logaritmo es negativo.:@0.573181:0.436545:0.806052:0.436545:0.806052:0.421646:0.573181:0.421646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v) :@0.506690:0.455191:0.524213:0.455191:0.524213:0.439613:0.506690:0.439613:0.000000:0.000000:0.000000
Si la base es 0 <   < 1.:@0.539927:0.455191:0.684969:0.455191:0.684969:0.440292:0.539927:0.440292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.648131:0.455191:0.656557:0.455191:0.656557:0.440317:0.648131:0.440317:0.000000
• :@0.539927:0.473837:0.548638:0.473837:0.548638:0.458472:0.539927:0.458472:0.000000:0.000000
Si un número real es mayor que 1, su logarit-:@0.573164:0.473837:0.871809:0.473837:0.871809:0.458937:0.573164:0.458937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mo es negativo.:@0.573164:0.488924:0.678987:0.488924:0.678987:0.474025:0.573164:0.474025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.539927:0.507570:0.548638:0.507570:0.548638:0.492206:0.539927:0.492206:0.000000:0.000000
Si un número real es menor que 1, pero  :@0.573164:0.507570:0.875478:0.507570:0.875478:0.492671:0.573164:0.492671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor que cero, su logaritmo es positivo.:@0.573164:0.522658:0.846124:0.522658:0.846124:0.507758:0.573164:0.507758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando :@0.115354:0.558381:0.177621:0.558381:0.177621:0.541992:0.115354:0.541992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a = e,  y:@0.179021:0.558381:0.236534:0.558381:0.236534:0.542020:0.179021:0.542020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   > 0 se escribe :@0.219138:0.558381:0.350656:0.558381:0.350656:0.541992:0.219138:0.541992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln y:@0.352057:0.558381:0.378980:0.558381:0.378980:0.542020:0.352057:0.542020:0.000000:0.000000:0.000000:0.000000
( ):@0.365362:0.559059:0.385116:0.559059:0.385116:0.543486:0.365362:0.543486:0.000000:0.000000:0.000000
, lo que se denomina logaritmo natural de  , o también logaritmo :@0.385116:0.558381:0.883307:0.558381:0.883307:0.541992:0.385116:0.541992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.708374:0.558381:0.715855:0.558381:0.715855:0.542020:0.708374:0.542020:0.000000
neperiano.:@0.115354:0.574978:0.193614:0.574978:0.193614:0.558589:0.115354:0.558589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = e   :@0.115354:0.595142:0.159232:0.595137:0.159232:0.578776:0.115354:0.578781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.148246:0.589090:0.152597:0.589090:0.152597:0.579551:0.148246:0.579551:0.000000
⇔:@0.159232:0.595815:0.178434:0.595815:0.178434:0.580242:0.159232:0.580242:0.000000
  x = ln y:@0.178434:0.595137:0.237071:0.595137:0.237071:0.578776:0.178434:0.578776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.223453:0.595815:0.243207:0.595815:0.243207:0.580242:0.223453:0.580242:0.000000:0.000000:0.000000
b) :@0.115356:0.759137:0.135387:0.759137:0.135387:0.742236:0.115356:0.742236:0.000000:0.000000:0.000000
Hallamos:@0.148600:0.759137:0.219859:0.759137:0.219859:0.742513:0.148600:0.742513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los logaritmos en base 10 de algunas cantidades y:@0.219859:0.759137:0.591395:0.759137:0.591395:0.742748:0.219859:0.742748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 justificamos :@0.591395:0.759137:0.691107:0.759137:0.691107:0.742513:0.591395:0.742513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en notación exponencial.:@0.691107:0.759137:0.876342:0.759137:0.876342:0.742748:0.691107:0.742748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.394334:0.692591:0.404451:0.692591:0.404451:0.677018:0.394334:0.677018:0.000000
=:@0.220782:0.723626:0.158018:0.723626:0.158018:0.708053:0.220782:0.708053:0.000000
=:@0.305960:0.723626:0.243196:0.723626:0.243196:0.708053:0.305960:0.708053:0.000000
=:@0.378842:0.723626:0.316077:0.723626:0.316077:0.708053:0.378842:0.708053:0.000000
=:@0.456168:0.723626:0.393403:0.723626:0.393403:0.708053:0.456168:0.708053:0.000000
⋅:@0.484629:0.723626:0.489236:0.723626:0.489236:0.708053:0.484629:0.708053:0.000000
=:@0.553843:0.723626:0.563960:0.723626:0.563960:0.708053:0.553843:0.708053:0.000000
16:@0.372239:0.691913:0.390022:0.691913:0.390022:0.675524:0.372239:0.675524:0.000000:0.000000
4:@0.409509:0.691913:0.418502:0.691913:0.418502:0.675524:0.409509:0.675524:0.000000
log 16:@0.150002:0.722948:0.208574:0.722948:0.208574:0.706559:0.150002:0.706559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.234446:0.722948:0.257875:0.722948:0.257875:0.706559:0.234446:0.706559:0.000000:0.000000:0.000000
4:@0.277116:0.722948:0.286108:0.722948:0.286108:0.706559:0.277116:0.706559:0.000000
log 4:@0.319625:0.722948:0.358774:0.722948:0.358774:0.706559:0.319625:0.706559:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.394739:0.713986:0.403732:0.713986:0.403732:0.697597:0.394739:0.697597:0.000000
3:@0.394962:0.733442:0.403955:0.733442:0.403955:0.717053:0.394962:0.717053:0.000000
log 4:@0.405903:0.722952:0.445053:0.722952:0.445053:0.706563:0.405903:0.706563:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.472077:0.713990:0.481069:0.713990:0.481069:0.697601:0.472077:0.697601:0.000000
3:@0.472284:0.733442:0.481277:0.733442:0.481277:0.717053:0.472284:0.717053:0.000000
0,60206:@0.491131:0.722952:0.549519:0.722952:0.549519:0.706563:0.491131:0.706563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,4014:@0.568273:0.722952:0.618234:0.722952:0.618234:0.706563:0.568273:0.706563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.419359:0.684251:0.424570:0.684251:0.424570:0.674752:0.419359:0.674752:0.000000
3:@0.181523:0.715446:0.186734:0.715446:0.186734:0.705948:0.181523:0.705948:0.000000
2:@0.286963:0.715286:0.292175:0.715286:0.292175:0.705788:0.286963:0.705788:0.000000
3:@0.265967:0.715013:0.271178:0.715013:0.271178:0.705515:0.265967:0.705515:0.000000
2:@0.360460:0.706092:0.365672:0.706092:0.365672:0.696594:0.360460:0.696594:0.000000
3:@0.360567:0.717290:0.365779:0.717290:0.365779:0.707791:0.360567:0.707791:0.000000
                                                :@0.151530:0.692701:0.372661:0.692701:0.372661:0.674528:0.151530:0.674528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.172943:0.723736:0.132273:0.723736:0.132273:0.705563:0.172943:0.705563:0.000000
):@0.210583:0.723736:0.169913:0.723736:0.169913:0.705563:0.210583:0.705563:0.000000
(:@0.257389:0.723736:0.216719:0.723736:0.216719:0.705563:0.257389:0.705563:0.000000
):@0.295763:0.723736:0.255093:0.723736:0.255093:0.705563:0.295763:0.705563:0.000000
(:@0.342569:0.723736:0.301899:0.723736:0.301899:0.705563:0.342569:0.705563:0.000000
):@0.368640:0.723736:0.327971:0.723736:0.327971:0.705563:0.368640:0.705563:0.000000
(:@0.428843:0.723736:0.388174:0.723736:0.388174:0.705563:0.428843:0.705563:0.000000
):@0.445961:0.723736:0.405291:0.723736:0.405291:0.705563:0.445961:0.705563:0.000000
Notación logarítmica:@0.299971:0.786950:0.451965:0.786950:0.451965:0.771586:0.299971:0.771586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación exponencial:@0.647282:0.786950:0.805222:0.786950:0.805222:0.771586:0.647282:0.771586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log(10) = 1:@0.202640:0.809053:0.274943:0.809053:0.274943:0.794154:0.202640:0.794154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
101 = 10:@0.687136:0.809053:0.740676:0.809053:0.740676:0.794154:0.687136:0.794154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log(100) = log(102) = 2:@0.202640:0.831156:0.352037:0.831156:0.352037:0.816257:0.202640:0.816257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
102 = 100:@0.687136:0.831156:0.750125:0.831156:0.750125:0.816257:0.687136:0.816257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log(1 000) = log(103) = 3:@0.202640:0.853260:0.363764:0.853260:0.363764:0.838361:0.202640:0.838361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
103 = 1 000:@0.687136:0.853260:0.761851:0.853260:0.761851:0.838361:0.687136:0.838361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log(0,1) = log(10 1) = –1:@0.202640:0.875363:0.358760:0.875356:0.358760:0.860457:0.202640:0.860464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.312046:0.867345:0.316929:0.867345:0.316929:0.858658:0.312046:0.858658:0.000000
10 1 = 0,1:@0.687124:0.875356:0.748468:0.875356:0.748468:0.860457:0.687124:0.860457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.703479:0.867345:0.708363:0.867345:0.708363:0.858658:0.703479:0.858658:0.000000
log(0,01) = log(10 2) = –2:@0.202641:0.897459:0.368208:0.897458:0.368208:0.882559:0.202641:0.882560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.320221:0.889446:0.325105:0.889446:0.325105:0.880759:0.320221:0.880759:0.000000
10 2 = 0,01:@0.687124:0.897458:0.757916:0.897458:0.757916:0.882559:0.687124:0.882559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.703479:0.889446:0.708363:0.889446:0.708363:0.880759:0.703479:0.880759:0.000000
log(0,001) = log(10 3) = –3:@0.202641:0.919561:0.376266:0.919560:0.376266:0.904661:0.202641:0.904662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.328396:0.911548:0.333280:0.911548:0.333280:0.902862:0.328396:0.902862:0.000000
10 3 = 0,001:@0.687124:0.919560:0.765974:0.919560:0.765974:0.904661:0.687124:0.904661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.703479:0.911548:0.708363:0.911548:0.708363:0.902862:0.703479:0.902862:0.000000