Answer
$x=\dfrac{1}{4}$
Work Step by Step
Recall the following logarithmic property:
When $a^x=y$, then $\log_a{y}=x$
Applying this, we get:
When $\log_x (64)=-3$, then $x^{-3} =64$
This implies that $x=\dfrac{1}{4}$
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