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 466: 21

Answer

$2\log{a}$

Work Step by Step

Recall the power property of logarithms (pg. 462): $\log_b{m^n}=n\log_b{m}$ We apply this to the given expression ($b=10, m=a, n=2$) to obtain: $\log{a^2}=2\log{a}$
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