The instruction is to "use your calculator" to solve 2^{x}= x^{2}, as opposed to solving analytically (leaving logs unreduced etc). Judging from the answer, which includes 2 and some decimal, this might be a quadratic in form somehow perhaps. Anyway, after hours of mulling it I can't seem to find the correct approach. It's easy to get to .3466 = ln(x)/x. Can't get passed that. I also considered (x - 2^{sqrt(x)}) * (x + 2^{sqrt(x)}) but I couldn't get anywhere with that.