a^3 + 3a^2b + 3ab^2 + 9ab + b^3 = 10ab a^3 + 3a^2b + 3ab^2 + b^3 = ab (a+b)^3 = ab take log of both sides log (a+b)^3= log ab 3 log(a+b) = log a + log b log (a+b) = (1/3)(log a + log b) Q.E.D.
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