Find the domain of ${sin}^{- 1} ({log}_{2} x)$

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Solution

$- 1 \leq {log}_{2} x \leq 1$
$\Rightarrow 2^{- 1} \leq x \leq 2$
$∴$ Domain of $f (x) = [\frac{1}{2}, 2]$

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