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: 41



Work Step by Step

Recall the power property of logarithms (pg. 462): $\log_b{m^n}=n\log_b{m}$ We rewrite the values in the form of $m^n$, so that we can apply the power property: $\log_{3}{27}-2\log_3{3}\\ =\log_{3}{3^3}-2\log_3{3}\\ =3\log_{3}{3}-2\log_3{3}\\ =(3\times1)-(2\times1)\\ =3-2\\ =1$ We also used the fact that $\log_{3}{3}=1$ (because $3^1=3$).
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