# Its a Function!

Algebra Level pending

For a real valued function $$f(x)$$ satisfying [ 2f(xy) = $$(f(x))^{y}$$ + $$(f(y))^{x}$$ ] for all x , y $$\epsilon$$ $$\mathbb R$$ and $$f(1)$$ = a , ( a $$\neq$$ 1 ). Then what is the value of the expression $[(a-1) . \displaystyle\sum_{i=1}^n f(i)] + a$ .

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