2^x = x^2 take the log of each side
log 2^x = log x^2 and we can write
x log 2 = 2 log x
x / log x = 2 / log 2
And it must be that x = 2
i'm not the person that asked this question, but i have a question....
i have been wondering abt this for a long time...
wouldn't it also work with natural logs?