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If x^x^x^x^x...=2 then what is x?

+2 votes

If x^x^x^x^x...=2 then what is x, please share your working also.


posted Oct 12, 2014 by anonymous

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1 Answer

+3 votes

Answer is Sqrt 2
Since we know,
Sqrt2 ^ 2 = 2
Now that raise to------> 2 ,can also be written as Sqrt2 ^ 2
In same way again next raise to 2 ,can also be written as Sqrt2 ^ 2
we are talking about this 2 Sqrt2^( 2 )<------------this 2
[Sqrt(2)]^[Sqrt(2)]^[Sqrt(2)]^[Sqrt(2)] ........... infinite = 2

answer Jan 24, 2015 by Jaspalsingh Parmar

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