Answer
$\frac{1}{2}$
Work Step by Step
We know that $y=log_{b}x$ is equivalent to $b^{y}=x$ (where $x\gt0$, $b\gt0$, and $b\ne1$).
Therefore, $log_{16}4=\frac{1}{2}$, because $16^{\frac{1}{2}}=\sqrt 16=4$.
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