Answer
{$\frac{5}{3}$}
Work Step by Step
For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $log_{8}32=x$ means the same as $8^{x}=32$.
We know that $x=\frac{5}{3}$, because $8^{\frac{5}{3}}=32$.