How do I use the Lambert W function to find solutions to x^2 = 2^x?

[p.olly]

the obvious solutions are

x=2
x=4

but the other solutions i need to find using lambertW i think

but how do i bring this to the form of lambert W

 

[D H]

What other solutions[/size] (implying more than one other solution than the obvious 2 and 4)? Are you supposed to solve this for real or complex x?

What work have you done? We have a template; you discarded that.