Question

Given that x and y are positive integers, solve
x^y = y^x

Answer 1

can i do the obvious one...x=1, y=1

Answer 2

You have to find all the solutions.Of course 1 is obvious.

Answer 3

Wouldn't all solutions be on a line of y=x?

Answer 4

wait can x=y, if so then any number would work

Answer 5

4 and 2 is another.

Answer 6

x=y is one . What about x>y?

Answer 7

the only solution is 4 and 2, at least for numbers up to 1000