Algebra 2 (1st Edition)

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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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, $\log_c a=\frac{\log_b a}{\log_b c}$
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