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: 78

Answer

$\dfrac {2}{3}\log _{3}m+\dfrac {4}{3}\log _{3}4-\dfrac {2}{3}\log _{3}t$

Work Step by Step

$\log _{3}\sqrt [3] {\dfrac {m^{2}n^{4}}{t^{2}}}=\log _{3}\left( m^{2/3}\times n^{4/3}\times t^{-2/3}\right) =\dfrac {2}{3}\log _{3}m+\dfrac {4}{3}\log _{3}4-\dfrac {2}{3}\log _{3}t$
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