## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 12 - Section 12.6 - Properties of Logarithms - Exercise Set: 22

#### Answer

$\frac{1}{3}log_{5}x$

#### Work Step by Step

We know that $log_{b}x^{r}=rlog_{b}x$ (where $x$ and $b$ are positive real numbers, $b\ne1$, and $r$ is a real number). Therefore, $log_{5}\sqrt[3] x=log_{5}x^{\frac{1}{3}}=\frac{1}{3}log_{5}x$.

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