Answer
$(c)$
Work Step by Step
On the LHS, we apply $\displaystyle \log_{a}\frac{M}{N}=\log_{a}M-\log_{a}N$
$\displaystyle \log_{5}\frac{x}{x-2}=3\qquad $ ..choice $(c)$
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 - 12.6 Solving Exponential Equations and Logarithmic Equations - 12.6 Exercise Set - Page 825: 8
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