Answer
See below
Work Step by Step
Let $x=\log_b a\\y=\log_b c\\z=\log_c a$
Rewrite as: $a=b^x=c^z$
Obtain: $b^x=(b^y)^z=b^{yz}\\
\rightarrow x=yz\\
\rightarrow z=\frac{x}{y}$
Thus, $\log_c a=\frac{\log_b a}{\log_b c}$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 7 Exponential and Logarithmic Functions - 7.5 Apply Properties of Logarithms - 7.5 Exercises - Skill Practice - Page 511: 68
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