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: 37


$2\log_a w-2\log_ax+\log_ay$

Work Step by Step

Using the properties of logarithms, the given expression, $ \log_a(w^2x^{-2}y) ,$ is equivalent to \begin{array}{l}\require{cancel} \log_a w^2+\log_ax^{-2}+\log_ay \\\\= 2\log_a w-2\log_ax+\log_ay .\end{array}
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