Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 475: 53

Answer

$\log_{b}(x^{2}\cdot y^{3})$

Work Step by Step

$ 2\log_{b}x+3\log_{b}y=\quad $...apply the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$ $=\log_{b}x^{2}+\log_{b}y^{3}\quad $...apply the Product Rule: $\quad \log_{b}(MN)=\log_{b}\mathrm{M}+\log_{b}\mathrm{N}$ $=\log_{b}(x^{2}\cdot y^{3})$
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