Given that A^X + B^Y = C^Z, where A, B, C > 0 and X, Y, Z >2
what is the reason that Z < 2*max(XlogA, YlogB)??
I dont understand how this answers the question. I remember the idea was to show that Z < 2*XlogA and Z < 2*YlogB and so Z<2*max(XlogA, YlogB).
chiph588@, I dont see how XlogA > YlogB. Nor do I understand how A^X + B^Y is equal to $\displaystyle A^X+ B^Y=c^X^l^o^gc^A + c^Y^l^o^gc^A$