Answer
$x=32$
Work Step by Step
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$.
Therefore, $log_{2}x=5$ is equivalent to $2^{5}=x$.
We know that $x=32$, because $2^{5}=2\times2\times2\times2\times2=32$.