Answer
$-0.6309$
Work Step by Step
Use a calculator and the change-of-base theorem, $log_{1/3}2=\frac{log2}{log1/3}=\frac{ln2}{ln1/3}\approx-0.6309$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.4 Evaluation Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 460: 84
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