As you add up more "^x" terms, the solution get closer to SQRT(2).

Again, I would like to see a demonstration of this (or a counter example)

: )

x^(x^(x^(x^x)))

In Excel (by trial and error) I get: 1.432694...

]]>That's exactly how it was written.

]]>x ≈ 1.425385621 ≈ √2

I think the solution of x^x^x^...........=2 converges into √2.

If someone proved that it would be remarkable.

I'm just asking that to stall for time, because I have no idea how to start trying to solve it. Probably using logs.

]]>x^x^x^x^x = 2

Anyone know how to solve it and if so can you explain how you get to your answer?

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