## Intermediate Algebra for College Students (7th Edition)

$\log_{64}{4}=\frac{1}{3}$
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: $\log_{64}{4}=\frac{1}{3}$