Answer
$r\cdot\log _{a}{M}$
Work Step by Step
Recall the power rule for logarithms:
$$\log _{a} x^{r}=r\cdot \log_a{x}$$
Thus,
$$\log_a{M^r}=r\cdot \log_a{M}$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 7
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