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

Answer

$2$

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 $12^1=12$).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.