If 3 power x + 4 power x = 5 power x. Then find the value of 'x'.

only 2 satisfies...

According to the Fermats last theorm,

xⁿ +yⁿ = zⁿ where x,y,z and n integers is satisfied only when n<3 (except some x,y,z called Fermats near misses like the ramanujam no 1729)