Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.6 - Properties of Logarithms - Exercise Set: 22

Answer

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

Work Step by Step

The power property of logarithms tells us that $log_{b}x^{r}=r log_{b}x$ (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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