## Precalculus (6th Edition) Blitzer

Published by Pearson

# 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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