El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\left(- x + \log{\left(x \right)}\right) + 1 = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 1$$
$$x_{2} = 1$$
Solución numérica$$x_{1} = 1.00000120589386$$
$$x_{2} = 1.00000120465432$$
$$x_{3} = 1.0000008989681$$
$$x_{4} = 1.00000102085123$$
$$x_{5} = 1.00000088503124$$
$$x_{6} = 1.0000010506418$$
$$x_{7} = 1.00000098620677$$
$$x_{8} = 1.000000973555$$
$$x_{9} = 1.00000082708788$$
$$x_{10} = 1.00000112631406$$
$$x_{11} = 1.00000095912782$$
$$x_{12} = 1.00000106549002$$
$$x_{13} = 1.00000104600682$$
$$x_{14} = 1.00000111973159$$
$$x_{15} = 1.00000110383183$$
$$x_{16} = 1.00000120070609$$
$$x_{17} = 1.00000115095436$$
$$x_{18} = 1.00000094165938$$
$$x_{19} = 1.00000103951575$$
$$x_{20} = 1.0000010428216$$
$$x_{21} = 1.0000010629687$$
$$x_{22} = 1.00000106829715$$
$$x_{23} = 1.00000073972418$$
$$x_{24} = 1.00000119636333$$
$$x_{25} = 1.00000118801958$$
$$x_{26} = 1.0000010274276$$
$$x_{27} = 1.00000115829535$$
$$x_{28} = 1.00000101216844$$
$$x_{29} = 1.00000105491168$$
$$x_{30} = 1.00000115475666$$
$$x_{31} = 1.00000106793644$$
$$x_{32} = 1.00000104907905$$
$$x_{33} = 1.00000120709848$$
$$x_{34} = 1.00000117778975$$
$$x_{35} = 1.00000117297441$$
$$x_{36} = 1.00000121160182$$
$$x_{37} = 1.00000105204521$$
$$x_{38} = 1.00000083064178$$
$$x_{39} = 1.00000099198144$$
$$x_{40} = 1.00000106036829$$
$$x_{41} = 1.00000095110124$$
$$x_{42} = 1.00000099743679$$
$$x_{43} = 1.00000119321036$$
$$x_{44} = 1.00000100260285$$
$$x_{45} = 1.00000096659021$$
$$x_{46} = 1.00000080616175$$
$$x_{47} = 1.00000119785926$$
$$x_{48} = 1.00000107917151$$
$$x_{49} = 1.00000108238192$$
$$x_{50} = 1.00000118215717$$
$$x_{51} = 1.00000118981722$$
$$x_{52} = 1.00000120337795$$
$$x_{53} = 1.00000117037104$$
$$x_{54} = 1.00000108124099$$
$$x_{55} = 1.00000093301765$$
$$x_{56} = 1.00000121368497$$
$$x_{57} = 1.00000116761909$$
$$x_{58} = 1.00000117544325$$
$$x_{59} = 1.0000010360809$$
$$x_{60} = 1.00000107486373$$
$$x_{61} = 1.00000085139655$$
$$x_{62} = 1.00000105768425$$
$$x_{63} = 1.0000011800246$$
$$x_{64} = 1.00000119481488$$
$$x_{65} = 1.00000102878628$$
$$x_{66} = 1.00000116160182$$
$$x_{67} = 1.00000103250782$$
$$x_{68} = 1.00000077659296$$
$$x_{69} = 1.00000092274309$$
$$x_{70} = 1.00000111230847$$
$$x_{71} = 1.00000118614771$$
$$x_{72} = 1.00000100750577$$
$$x_{73} = 1.00000030855971$$
$$x_{74} = 1.00000118419576$$
$$x_{75} = 1.00000119930586$$
$$x_{76} = 1.00000120826998$$
$$x_{77} = 1.00000069165186$$
$$x_{78} = 1.00000114685064$$
$$x_{79} = 1.00000062458358$$
$$x_{80} = 1.00000120941003$$
$$x_{81} = 1.00000121052016$$
$$x_{82} = 1.00000120206262$$
$$x_{83} = 1.00000107704666$$
$$x_{84} = 1.00000099457317$$
$$x_{85} = 1.00000116470233$$
$$x_{86} = 1.00000098007809$$
$$x_{87} = 1.00000114239939$$
$$x_{88} = 1.00000107261983$$
$$x_{89} = 1.00000091145668$$
$$x_{90} = 1.00000119154591$$
$$x_{91} = 1.00000113754367$$
$$x_{92} = 1.00000086932096$$
$$x_{93} = 1.00000094243035$$
$$x_{94} = 1.00000113221215$$
$$x_{95} = 1.00000107031185$$
$$x_{96} = 1.00000102490496$$
$$x_{97} = 1.0000005195749$$
$$x_{98} = 1.00000101661099$$
$$x_{99} = 1.00000121265634$$
$$x_{100} = 1.0000010940023$$