How do I write a super-logarithm in a graphing application such as Desmos?

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I'm trying to plug in a super-logarithm (inverse function of tetration) in Desmos

Wikipedia's definition though is defined implicitly: https://en.wikipedia.org/wiki/Super-logarithm

Not sure how to translate that into Desmos. I know I can manually plot the points of the function, but looking for a better way