[tex]x^y = 9 , y^x = 8[/tex]

Solve the simultaneous equations.

Expressing [itex]x = 9^{1/y}[/itex] and then substituting doesn't help much. I get an equation in one variable, but no direct answer.

Again, taking log on both sides doesn't give anything conclusive.

One answer (at least) is obviously (3,2). How can I solve it mathematically?

I hope someone can help me.