Hi guys! Anyone know any basic uni maths? This is related to the Principle of Mathematical Induction, and the question I'm having some trouble with is:

If a function f(xy) = f(x) + f(y), where x, y > 0 (zero) then prove by Mathematical Induction that:

f(x1 x2 x3 ... xn) = f(x1) + f(x2) + ... + f(xn) for n>0 (zero), n is an integer.

So far, I've proved that it (obviously) holds for n=1, and assuming it holds for n=k, where k fulfils the conditions for n, but when I assume for k+1, I don't know where to go next for my proof.

Does anyone have any advice on how to prove this? Much appreciated. Thanx =D

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