At what value of a will the graph of A^x and log base(a) of (x) equal eachother?

a^x=log_a_(x)?

what i said was either one will intercept with the line y=x (Because since a^x and log_a_(x) are inverses. they will intersect at the line y=x

so i made a^x=x, still couldnt solve

the same with log_a_(x)=x

Any ideas?

ps. i use latex and winedt. is there a sticky on how to write that code through here or it won't work?

cheers