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The Magic Cafe Forum Index » » Puzzle me this... » » Equation (0 Likes) Printer Friendly Version

Nir Dahan
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Inner circle
Munich, Germany
1390 Posts

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X^x^x^x^x .... = 2

how much is x?



hint:
it helps if you solve first
x^x^x = 2


Nir

Visit me at http://www.bidthegrid.com
Scott Cram
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X=1.28721218653
wildarr
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New user
Isle of Palms, SC
80 Posts

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X^x^x^... = x^(x^x^x^... )

Let y = x^x^x^... if the limit exists

Then y = 2

so...

x^(y) = 2
x^2 = 2
x = sqrt(2)

Magic!
Nir Dahan
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Munich, Germany
1390 Posts

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Sqrt 2 is the right answer

Nir

http://www.bidthegrid.com
wildarr
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New user
Isle of Palms, SC
80 Posts

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Reminds me of the "What is the largest number you can write with 3 digits?" question. Do we dare post that?

Of course this is probably not the best (hint...hint...) place to post this....
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