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 810: 51


$\log_b \dfrac{w^2}{zy^4}$

Work Step by Step

Using the properties of logarithms, the given expression, $ 2\log_b w-\log_b z-4\log_b y ,$ is equivalent to \begin{array}{l}\require{cancel} 2\log_b w-(\log_b z+4\log_b y) \\\\= \log_b w^2-(\log_b z+\log_b y^4) \\\\= \log_b w^2-(\log_b zy^4) \\\\= \log_b \dfrac{w^2}{zy^4} .\end{array}
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