Answer
$\log_{64}{4}=\frac{1}{3}$
Work Step by Step
Write the radical in exponential form to obtain:
$64^{\frac{1}{3}}=4$
RECALL:
$a^x=y \longrightarrow \log_{a}{y}=x$
Use the rule above, with $a=64$, $x= \frac{1}{3}$, and $y=4$, to obtain:
$\log_{64}{4}=\frac{1}{3}$
