Answer
$3\log_a x+4\log_a z$
Work Step by Step
Using the properties of logarithms, the given expression, $
\log_a(x^3z^4)
,$ is equivalent to:
\begin{array}{l}\require{cancel}
\log_a x^3+\log_a z^4
\\\\=
3\log_a x+4\log_a z
.\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: 35
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