Answer
$\sqrt 2$.
Work Step by Step
Based on the given conditions, we have $f(2)=log_a(2)=2 \Longrightarrow a^2=2 \Longrightarrow a=\sqrt 2$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 321: 57
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