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: 81

Answer

$\dfrac {1}{2}\log _{3}x+\dfrac {1}{3}\log _{3}y-2\log _{3}w-\dfrac {1}{2}\log _{3}z$

Work Step by Step

$\log _{3}\dfrac {\sqrt {x}\times \sqrt [3] {y}}{w^{2}\sqrt {z}}=\log _{3}(x^{\frac {1}{2}}\times y^{\frac {1}{3}}\times w^{-2}\times z^{-\frac {1}{2}})=\dfrac {1}{2}\log _{3}x+\dfrac {1}{3}\log _{3}y-2\log _{3}w-\dfrac {1}{2}\log _{3}z$
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