Answer
$\log_4(2^5x^7y^7)$
Work Step by Step
We know that $x\log_ab=\log_ab^x$ and that $\log_ab+\log_ac=\log_a(bc)$
Hence here $5\log_42+7\log_4x+4\log_4y=\log_42^5+\log_4x^7+\log_4y^4=\log_4(2^5x^7y^7)$
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: 38
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