The instruction is to "use your calculator" to solve 2x = x2, 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 - 2sqrt(x)) * (x + 2sqrt(x)) but I couldn't get anywhere with that.