This is a genuinely fun one

hint 1 (don’t peek unless you really need it)

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try solving a simpler version of the problem

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hint 2 (supplementary to hint 1)

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the simpler version is x^x=2

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hint 3 (unrelated to 1 and 2)

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x^{x*x^x}=(x^x)^(x^x)

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hint 4 (its basically the answer)

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x^x=e^(ln x)(e^(ln x))

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Solution: https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd solutions/2024-05-05_fake-power-tower.html

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