Answer
$x=\frac{2}{3}$
Work Step by Step
$\log_{x}\frac{16}{81}=2$
means that x must be raised to the power of 2 to get $\frac{16}{81}$.
$x^2=\frac{16}{81}$
$x=\sqrt{\frac{16}{81}}$
$x=\frac{4}{9}$
$x=\frac{2}{3}$
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 444: 5
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