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The function f is such that : f(xy)=f(x)...

The function `f` is such that : `f(xy)=f(x)+f(y), x, y gt 0` and `f\'(1)=2` and `A` the area bounded by the curves `y=f(x), x=2` and the x-axis, then (A) `f(x)=2log_ex` (B) `f(x)=2 log_ex` (C) `A=2(2log_e2-1)` (D) `A=4log(2/sqrt(e))`

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