Answer
16
Work Step by Step
$\displaystyle \frac{3}{4}=\log_{y}(8)\ \ $ means $\ \ y^{3/4}=8$
$y^{3/4}=8\qquad /(...)^{4/3}$
$y=8^{4/3}=(2^{3})^{4/3}=2^{4}=16$
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