College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.4 - Laws of Logarithms - 4.4 Exercises: 40

Answer

$2\log_{a}x-\log_{a}y-3\log_{a}z$

Work Step by Step

$\log_{a}(\frac{x^{2}}{yz^{3}})=\log_{a}x^{2}-\log_{a}(yz^{3})=2\log_{a}x-(\log_{a}y+3\log_{a}z)=2\log_{a}x-\log_{a}y-3\log_{a}z$
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