Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.3 Logarithmic Functions - 4.3 Exercises: 87

Answer

$\log _{b}x^{\frac {17}{6}}y^{\frac {29}{12}}$

Work Step by Step

$\dfrac {1}{3}\log _{b}x^{4}y^{5}-\dfrac {3}{4}\log _{b}x^{2}y=\log _{b}\left( x^{4}y^{5}\right) ^{\frac {1}{3}}+\log _{b}\left( x^{2}y\right) ^{\frac {3}{4}}=\log _{b}\left( \left( x^{4}y^{5}\right) ^{\frac {1}{3}}\times \left( x^{2}y\right) ^{\frac {3}{4}}\right) =\log _{b}x^{\frac {17}{6}}y^{\frac {29}{12}}$
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