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: 32

Answer

$3\log_{5}x-5\log_{5}y=\log_{5}\dfrac{x^{3}}{y^{5}}$

Work Step by Step

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