Answer
$2\log_a x+5\log_a y$
Work Step by Step
Using the properties of logarithms, the given expression, $
\log_a(x^2y^5)
,$ is equivalent to:
\begin{array}{l}\require{cancel}
\log_a x^2+\log_a y^5
\\\\=
2\log_a x+5\log_a y
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
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: 36
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