Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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: 6

Answer

$ \log _{a}\left(\frac{M}{N}\right)=\log _{a} M-\log _{a} N$

Work Step by Step

Recall the quotient rule for logarithms: $$\log _{a}\left(\frac{A}{B}\right)=\log_a{A}-\log_a{B}$$ Therefore, $$\log _{a}\left(\frac{M}{N}\right)=\log _{a} M-\log _{a} N$$
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