Each of F, G and H are positive integers such that:

F^GH* G^HF* H^FG = 5*F*G*H

Determine the possible value(s) that F+G+H can assume.

Note: For a precise interpretation of the value of A^BC, refer to the wikipedia article on exponentiation in this location.

F+G+H = 8

{F,G,H} = {5,2,1}, {2,5,1} or {1,2.5}.

There are no other solutions.

Edited on February 12, 2008, 1:24 pm

Posted by FrankM on 2008-02-12 13:19:28