Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 811: 92



Work Step by Step

$\displaystyle \log_{a}(\frac{P}{Q})^{x}=\qquad$ ... apply $\log_{a}M^{p}=p\cdot\log_{a}M$ $=x\displaystyle \log_{a}(\frac{P}{Q})\qquad$ ... apply $\displaystyle \log_{a}\frac{M}{N}=\log_{a}M-\log_{a}N$ $=x[\log_{a}P-\log_{a}Q]$ $=x\log_{a}P-\fbox{$x$}\log_{a}Q$
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