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Let f:R rarr R be a differentiable funct...

Let `f:R rarr R` be a differentiable function with f(0)=1 and satisfying the equation `f(x+y)=f(x)f'(y)+f'(x)f(y)" for all "x, y in R.` Then, the value of `log_(e)(f(4))` is -

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