#### Answer

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

#### Work Step by Step

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

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

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

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