Answer
$1+\dfrac {1}{2}\log _{5}7-\log _{5}3$
Work Step by Step
$\log _{5}\dfrac {5\sqrt {7}}{3}=\log _{5}5+\log _{5}\sqrt {7}-\log _{5}3=1+\log _{5}7^{1/2}-\log _{5}3=1+\dfrac {1}{2}\log _{5}7-\log _{5}3$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.3 Logarithmic Functions - 4.3 Exercises - Page 446: 73
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