Answer
$log_{4}\sqrt[3] 4=\frac{1}{3}$
Work Step by Step
We are given that $4^{\frac{1}{3}}=\sqrt[3] 4$.
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x$ and every real number $y$.
Therefore, $4^{\frac{1}{3}}=\sqrt[3] 4$ is equivalent to $log_{4}\sqrt[3] 4=\frac{1}{3}$.
