Write x in terms of y for $x^x$ = y

Is there a closed form for $$x^x = y$$ (for positive real numbers)?

I'm not sure if this has been answered already; google search doesn't do well with symbols so its hard for me to search this up.

• Hint : Use Lambert W. Jan 11 at 2:53
• Jan 11 at 3:02
• yep the duplicate is what I was looking for Jan 11 at 3:03
• math.stackexchange.com/questions/1035539/… (this is about power tower of x) Jan 11 at 3:13