Answer
$\log_5(4x^{\frac{1}{3}})$
Work Step by Step
We know that $x\log_ab=\log_ab^x$ and that $\log_ab+\log_ac=\log_a(bc)$
Hence here $\log_54+\frac{1}{3}\log_5x=\log_54+\log_5x^{\frac{1}{3}}=\log_5(4x^{\frac{1}{3}})$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 7 Exponential and Logarithmic Functions - 7.5 Apply Properties of Logarithms - 7.5 Exercises - Skill Practice - Page 510: 40
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