Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 477: 133


Please see below.

Work Step by Step

Let $\log_bM=x$ and $\log_bN=y$. So we have$$M=b^x, \quad N=b^y \quad \Rightarrow \quad \frac{M}{N}=\frac{b^x}{b^y}=b^{x-y} \\ \quad \Rightarrow \quad \log_b \left ( \frac{M}{N} \right )=x-y=\log_bM- \log_bN$$
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