Answer
$x=4$
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, $log_{2}2^{4}=x$ is equivalent to $2^{x}=2^{4}$.
$x=4$
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