Algebra 2 Common Core

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

Chapter 7 - Exponential and Logarithmic Functions - Chapter Review - Page 489: 47

Answer

$2\log{(x+3)}$

Work Step by Step

RECALL: (1) Product Property of Logarithms: $\log_a{mn}=\log_a{m} + \log_a{n}$ (2) Quotient Property of Logarithms: $\log_a{\frac{m}{n}}=\log_a{m} - \log_a{n}$ (3) Power Property of Logarithms: $\log_a{m^n}=n\log_a{m}$ Use the Power Property to obtain: $$\log{(x+3)^2}=2\log{(x+3)}$$
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