#### Answer

$\dfrac {3}{4}$

#### Work Step by Step

$\log _{x}\left( \dfrac {27}{64}\right) =3\Rightarrow x^{3}=\dfrac {27}{64}\Rightarrow x^{3}=\left( \dfrac {3}{4}\right) ^{3}\Rightarrow x=\dfrac {3}{4}$

Published by
Pearson

ISBN 10:
013421742X

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

$\dfrac {3}{4}$

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