[tex]\bf log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-----------------------------\\\\
10^y=5\implies log(10^y)=log(5)\implies ylog(10)=log(5)\\\\\\ y=\cfrac{log(5)}{log(10)}\\\\
-----------------------------\\\\
\textit{Logarithm Change of Base Rule}\\\\
log_{{ a}}{{ b}}\implies \cfrac{log_{{ c}}{{ b}}}{log_{{ c}}{{ a}}}\\\\
-----------------------------\\\\
y=\cfrac{log(5)}{log(10)}\iff y = log_{10}(5)\iff y=log(5)[/tex]
