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 - Lesson Check: 6

Answer

(a) Product Property of Logarithms (b) Quotient Property of Logarithms

Work Step by Step

RECALL: (i) Product Property of Logarithms: $\log_{a}{bc}= \log_a{b} + \log_a{c}$ (ii) Quotient Property of Logarithms: $\log_a{\left(\dfrac{x}{y}\right)}=\log_a{x} - \log_a{y}$ Thus, (a) The property that will be used to write the given expression as a single logarithm is the Product Property of Logarithms. (b) The property that will be used to write the given expression as a single logarithm is the Quotient Property of Logarithms.
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