Answer
$x=5$
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, $log_{4}4^{5}=x$ means $4^{x}=4^{5}$.
We know that $x=5$, because $(4)^{5}=4^{5}$.
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