this post was submitted on 06 May 2024
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  • Solve x for x^x*x^x^ = 2
  • Note that the Lambert W function W(x) is the inverse of f(x) = xe^x^
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[–] [email protected] 2 points 4 months ago

x^x=e^W(ln(2)) isn't wrong, but it's in a form that's inconvenient to say the least.

Picking up from x*ln(x)=W(ln(2))

spoiler

spoilerx^x is a far superior substitution, but it takes a bit to notice it