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If f(x)=log(x-5)(2-x), g(x)=log(x-5), h(...

If `f(x)=log(x-5)(2-x), g(x)=log(x-5), h(x)=log(2-x)` then

A

`f(x)=g(x)+h(x)`

B

`f(x)=g(x)-h(x)`

C

`f(x)=g(x)h(x)`

D

none

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