Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.4 - Properties of Logarithms - 9.4 Exercises: 4

Answer

False, $log_{b}x^{r}=rlog_{b}x$

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, the given statement is false. $log_{b}x^{r}\ne log_{b}rx$ Instead, $log_{b}x^{r}=rlog_{b}x$.
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