Answer
$-2$
Work Step by Step
By definition, $\log_{a}x=2$ means $a^{2}=x.$
Then,
$\log_{a}(1/x)=\log_{a}(1/a^{2})=\log_{a}(a^{-2})=-2$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 811: 88
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