El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\log{\left(\sin{\left(\sqrt{x} \right)} \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{\pi^{2}}{4}$$
Solución numérica$$x_{1} = 61.6850304363542$$
$$x_{2} = 61.6850335304749$$
$$x_{3} = 61.6850258206478$$
$$x_{4} = 2.4674034781216$$
$$x_{5} = 2.46740171991312$$
$$x_{6} = 61.6850162920019$$
$$x_{7} = 61.6850348021458$$
$$x_{8} = 61.6850277051713$$
$$x_{9} = 61.6850060968918$$
$$x_{10} = 2.46740096706287$$
$$x_{11} = 61.685031390065$$
$$x_{12} = 2.46740232280676$$
$$x_{13} = 2.46740362584846$$
$$x_{14} = 2.46740261576072$$
$$x_{15} = 61.6850267982128$$
$$x_{16} = 2.46740456633148$$
$$x_{17} = 61.6850504825875$$
$$x_{18} = 2.4674028831393$$
$$x_{19} = 61.6850441609333$$
$$x_{20} = 61.6850126112041$$
$$x_{21} = 61.6850324096614$$
$$x_{22} = 61.6850247702725$$
$$x_{23} = 61.6850188178568$$
$$x_{24} = 61.6850207366467$$
$$x_{25} = 61.6850236105226$$
$$x_{26} = 2.46740241563568$$
$$x_{27} = 61.6850381514552$$
$$x_{28} = 61.6850405936638$$
$$x_{29} = 61.6850363003209$$
$$x_{30} = 61.6850286216135$$
$$x_{31} = 61.6850222914264$$
$$x_{32} = 61.685029521269$$