Answer
$3log_5(x)+\frac{1}{2}log_5(y)-3$
Work Step by Step
Using the logarithmic properties, we have
$log_5(\frac{x^2\sqrt y}{125})=log_5(x^3)+log_5(\sqrt y)-log_5(125)=3log_5(x)+\frac{1}{2}log_5(y)-3$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 9 - Cumulative Review Exercises - Page 1038: 17
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