$$\left. \begin{array} { l } { \log q = \frac { 1 } { \log p } } \\ { \log _ { 5 } + 2 \log _ { x } = 3 } \end{array} \right.$$
$q=10^{\log_{p}\left(10\right)}$
$p\in \left(0,1\right)\cup \left(1,\infty\right)$
