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: 10

Answer

$\log_2{3}$

Work Step by Step

Recall the quotient property of logarithms (pg. 462): $\log_b{\frac{m}{n}}=\log_b{m}-\log_b{n}$ Using the formula in reverse (with $m=9$, $n=3$), we have: $\log_2 {9}-\log_2{3}=\log_2{\frac{9}{3}}=\log_2{3}$
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