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Let `f(x)` be a function such that `f'(x)=(log)_(1/2)[(log)_3(sinx+a)]dot` If `f(x)` is decreasing for all real values of `x ,` then (a) `a in (1,4)` (b) `a in (4,oo)` (c) `a in (2,3)` (d) `a in (2,oo)`

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