Answer
$\log_c (t\cdot y)$
Work Step by Step
Using $\log_b x +\log_b y=\log_b(xy),$ the given logarithmic equation, $
\log_c t+\log_c y
,$ is equivalent to
\begin{array}{l}\require{cancel}
\log_c (t\cdot 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 809: 15
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