Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - 7-4 Properties of Logarithms - Practice and Problem-Solving Exercises - Page 468: 93



Work Step by Step

Recall the power property of logarithms (pg. 462): $$\log_b{m^n}=n\log_b{m}$$ Using this property, we get: $\log_{12}{144}=\log_{12}{12^2}=2\log_{12}{12}=2\times 1= 2$ We also used the fact that $\log_{12}{12}=1$ (because $12^1=12$).
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