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: 16

Answer

$\log_{7}\left({\frac{xy}{z}}\right)$

Work Step by Step

Use the Product Property of Logarithms. According to this property, $\log_b {mn} = \log_b {m} + \log_b {n}$. Thus, the given expression is equivalent to: $\log_{7}{(x)(y)} - \log_{7}{z}$ Use the Quotient Property of Logarithms. According to this property, $\log_b {m} - \log_b {n} = \log_b \frac {m}{n}$. Thus, the expression above is equivalent to: $\log_{7}\left({\frac{xy}{z}}\right)$
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