The domain of the function f(x)=(log(e)(...

The domain of the function `f(x)=(log_(e)(log_((1)/(2))|x-3|))/(x^(2)-4x+3)` is
(A) `(-oo,4)-{3}`
(B) `(4,oo)`
(C) `(2,4)-{3}`
(D) `(-oo,4)-{1,3}`

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