Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - Chapter Review - Review Exercises - Page 345: 21



Work Step by Step

Recall: (1) $\sqrt[m]{a}=a^{\frac{1}{m}}$ (2) $\log_a {x^n}=n\cdot \log_a {x}$. (3) $\log_a{xy}=\log_a{x} +\log_a{y}$ (4) $\log_a{\frac{x}{y}}=\log_a{x} -\log_a{y}$ ($\log_a{M}=\log_a{N} \longrightarrow M=N$.) Using Rule(4): $\log_3{\frac{uv^2}{w}}=\log_3{uv^2}-\log_3{w}.$ Using Rule(3): $\log_3{uv^2}-\log_3{w}=\log_3{u}+\log_3{v^2}-\log_3{w}$ Using Rule(2): $\log_3{u}+\log_3{v^2}-\log_3{w}=\log_3{u}+2\log_3{v}-\log_3{w}$
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