solving x^2=2^x with the super square root

The famous exponential equation x^2=2^x & the super square root. The super square root is one rare function in mathematics. It is defined to be the inverse of x^x. Luckily, there's a nice connection between ssrt(x) and the Lambert W function.
We have solved 2^x=x^2 previously by using the Lambert W function, check it out here 👉   • ALL solutions to x^2=2^x  

0:00 intro: reg square root vs. super square root
2:59 Super square root with Lambert W function
5:30 Solve x^2=2^x with the super square root
(BIG thanks to EmperorsNewnewGroove for the suggestion)

Super square root, the inverse of x^x, ssrt(a)=e^W(ln(a))
Lambert W function intro: 👉    • Lambert W Function Intro &  x^x=2