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Let f: R->R be a differentiable funct...

Let `f: R->R` be a differentiable function with `f(0)=1` and satisfying the equation `f(x+y)=f(x)f^(prime)(y)+f^(prime)(x)f(y)` for all `x ,\ y in R` . Then, the value of `(log)_e(f(4))` is _______

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