Can you solve this math problem (x^x^5 = 100)?

Solve math problem with multiple exponents (x^x^5 = 100)!
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[@DK-fn6xr]

x = exp((1/5)*W(10*log(10))), where W(z)*exp(W(z)) = z is the Lambert W-function, and log(z) is the mulibranch natural logarithm.

[@hmafiayt8374]

X= 10^1/5...

[@myyoutubechannel6280]

Don’t get the 1/5