Function Properties Summation Value n (Jee Mains)

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Function Properties Summation Value n

Let f and g be functions satisfying f (x + y) = f(x) f(y), f(l) = 7 and g(x + y) = g(xy), g(l) =1, for all x, y ∈ ${\Bbb N}$ . $\sum\limits_{x = 1}^n {\left( {\frac{{f\left( x \right)}}{{g\left( x \right)}}} \right)}$ = 19607, then n is equal to :

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