Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.6 - Integrated Review - Functions and Properties of Logarithms: 33

Answer

$9\log_{5}x+3\log_{5}y=\log_{5}x^{9}y^{3}$

Work Step by Step

$9\log_{5}x+3\log_{5}y$ Take the coefficients $9$ and $3$ inside their respective logarithms as exponents: $9\log_{5}x+3\log_{5}y=\log_{5}x^{9}+\log_{5}y^{3}=...$ Combine $\log_{5}x^{9}+\log_{5}y^{3}$ as the $\log$ of a product: $...=\log_{5}x^{9}y^{3}$
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