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