Let f and g be functions satisfying f(x+y)=f(x) f(y), f(1)=7 and g (x+y)= g (x y), g (1)=1, for all x, y ∈ N. If Σ_x=1^n ((f(x))/(g (x)))=19607, then…

Let $\displaystyle f$ and g be functions satisfying $\displaystyle f(x+y)=f(x) f(y), f(1)=7$ and $\displaystyle \mathrm{g}(x+y)=\mathrm{g}(x y), \mathrm{g}(1)=1$, for all $\displaystyle x, y \in \mathbf{N}$. If $\displaystyle \sum_{x=1}^{\mathrm{n}}\left(\frac{f(x)}{\mathrm{g}(x)}\right)=19607$, then n is equal to :