College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Concept and Vocabulary Check: 3

Answer

The power rule for logarithms states that $\log_{b}M^{p}=p\log_{b}M$. The logarithm of a number with an exponent is the $\textbf{product}$ of the exponent and the logarithm of that number.

Work Step by Step

Since the logarithm of a number with an exponent is the $\textbf{product}$ of the exponent and the logarithm of that number, $\log_{b}M^{p}$ is equal to taking $p$ to multiply in front of the $\log$ and obtaining $p\log_{b}M$
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