Answer
$x=4$
Work Step by Step
We know that if $b\gt0$ and $b\ne1$, then $y=log_{b}x$ is equivalent to $x=b^{y}$ (where $x\gt0$ and $y$ is a real number).
Therefore, $log_{2}2^{4}=x$ is equivalent to $2^{x}=2^{4}$.
Therefore, $x=4$, because $2^{4}=2^{4}$.
