- #1

- 3,266

- 4

Find x

$5^{x^2+8}=125^{2x}$

$\begin{array}{rlll}

\textsf{common base}&125^{2x}=(5^3)^{2x}=5^{6x}\\

\textsf{then } &x^2+8=6x\implies x^2-6x+8=0 \\

\textsf{factor}&(x-2)(x-4)=0\\

\textsf{get zeros}&x=2, \quad x=4\\

\end{array}$

should be ok

suggestions...