Answer
$x=\frac{3}{5}$
Work Step by Step
Note that:
$32=2^5$
AND
$8=2^3$
Write each side with a base of $2$ to obtain:
$(2^5)^{x}=2^3
\\2^{5x}=2^3$
RECALL:
If $a^x = a^y$, then $x=y$.
Use the rule above to obtain:
$2^{5x}=2^3
\\5x=3
\\x=\frac{3}{5}$
