Re: x^(x^(x^(x^x^...)))....)))) = 2



On May 16, 7:20 am, Sujit <sujit.gu...@xxxxxxxxx> wrote:
Hello all,

What is solution to
x^(x^(x^(x^x^...)))....)))) = 2?
( That is x raised to x raised to x ..infinite times... = 2)

One immediate thing comes to mind is:
it is same as x^(the whole thing which is 2) =2
so x = sqrt 2

Here is a hint:

For what positive real number z is z^z maximal?
.



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