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: 1

Answer

The product rule for logarithms states that $\log_{b}(MN)=\log_{b}M+\log_{b}N$. The logarithm of a product is the $\textbf{sum}$ of the logarithms.

Work Step by Step

Since the logarithm of a product is the $\textbf{sum}$ of the logarithms, $\log_{b}(MN)$ is equal to adding the logarithms of each of the factors, $M$ and $N$
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