Precalculus (6th Edition)

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: 73

Answer

$1+\dfrac {1}{2}\log _{5}7-\log _{5}3$

Work Step by Step

$\log _{5}\dfrac {5\sqrt {7}}{3}=\log _{5}5+\log _{5}\sqrt {7}-\log _{5}3=1+\log _{5}7^{1/2}-\log _{5}3=1+\dfrac {1}{2}\log _{5}7-\log _{5}3$
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