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.

(In reply to Solution by Praneeth)

Ty, Praneeth. I confirm having included your methodology in the official solution.

Edited on December 5, 2023, 12:59 pm

Posted by K Sengupta on 2023-12-04 22:59:59