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 - Page 476: 2


The quotient rule for logarithms states that $\log_{b}\Big(\dfrac{M}{N}\Big)=\log_{b}M-\log_{b}N$. The logarithm of a quotient is the $\textbf{difference}$ of the logarithms

Work Step by Step

Since the logarithm of a quotient is the $\textbf{difference}$ of the logarithms, $\log_{b}\Big(\dfrac{M}{N}\Big)$ is equal to subtracting the logarithms of $M$ and $N$
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