Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - Review Exercises - Page 413: 77


$\frac{1}{2}\log_3x-2\log_3(y+8)=\log_3\frac{\sqrt x}{(y+8)^2}$

Work Step by Step

Use the Quotient Property and the Power Property: $\frac{1}{2}\log_3x-2\log_3(y+8)=\log_3x^{\frac{1}{2}}-\log_3(y+8)^2=\log_3\sqrt x-\log_3(y+8)^2=\log_3\frac{\sqrt x}{(y+8)^2}$
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