If \( f(x)=\sqrt[3]{\frac{9}{\log _{2}(3-2 x)}-1} \) then the value...

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If \( f(x)=\sqrt[3]{\frac{9}{\log _{2}(3-2 x)}-1} \) then the value of 'a' which satisfies \( f^{-1}(2 a-4)=\frac{1}{2} \), is
P
(A) 4
(B) 3
(C) 2
(D) 1
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