#### 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 $\frac{16}{81}$.
$x^2=\frac{16}{81}$
$x=\sqrt{\frac{16}{81}}$
$x=\frac{4}{9}$
$x=\frac{2}{3}$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$x=\frac{2}{3}$

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