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: 67


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Work Step by Step

Let $x=\log_b m\\y=log_b n$ Rewrite as: $b^x=m\\\rightarrow b^{x^n}=m^n \\ \rightarrow b^{xn}=m^n\\$ Obtain: $\log_b m^n=\log_b b^{xn}$ Thus, $\log_b m^n=n\log_b n$
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