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: 39

Answer

$\ln{\left(\dfrac{5}{3}\right)}$

Work Step by Step

RECALL: Properties of Logarithms (1) Product Property: $\log_a{bc} = \log_a{b} + \log_a{c}$ (2) Quotient Property: $\log_a{\left(\frac{b}{c}\right)}=\log_a{b}-\log_a{c}$ (3) Power Property: $\log_a{\left(b^n\right)}= n\cdot \log_a{b}$ Use the Quotient Property to obtain: \begin{align*} &=\log{\left(\frac{5}{3}\right)}\\ \end{align*}
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