Answer
$\left( \dfrac {1}{4}\right) $
Work Step by Step
$\log _{x}16=-2\Rightarrow x^{-2}=16\Rightarrow x^{-2}=\left( \dfrac {1}{4}\right) ^{-2}\Rightarrow x=\left( \dfrac {1}{4}\right) $
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 - 4.3 Logarithmic Functions - 4.3 Exercises - Page 445: 30
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