1 difficult mathematics Q (2)

圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahooknowledge/equation/goodequation9.jpg

參考資料：
my wisdom of maths + http://en.wikipedia.org/wiki/Lambert_W_function + http://www.wolframalpha.com/input/?i=x%5Ex%3Dn

http://www.wolframalpha.com/input/?i=x%5Ex%3Dn
= ="

I don't think there is an answer .

I'm not sure...

2011-10-08 14:32:58 補充：
I just suddenly think about this Q.

2011-10-08 19:59:13 補充：
Oh!!!!!!!!!!

Are you sure there is a closed form solution???