Precalculus (6th Edition) Blitzer

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

Chapter 3 - Review Exercises - Page 513: 56

Answer

$\ln(x^{3}y^{4})$

Work Step by Step

$ 3\ln x+4\ln y=\qquad $...apply the Power Rule: $\qquad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$ $=\ln x^{3}+\ln y^{4}\qquad $...apply the Product Rule: $\qquad \log_{b}(MN)=\log_{b}\mathrm{M}+\log_{b}\mathrm{N}$ $=\ln(x^{3}y^{4})$
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