top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

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

+2 votes
503 views

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

x^x^x...=2

posted Oct 12, 2014 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

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



Similar Puzzles
+1 vote

An integer x is selected in such a way that

x + x^(1/2) + x^(1/4) = 276

Then what would be the sum of all digits of the number y where

y = 100000 x^(1/4) + 1000 x^(1/2) + x 
+2 votes

A quarter-circle with radius R is drawn. Inside it, two semicircles and a circle are drawn as shown in the below figure. If the area of the white colored region is (Pi*R^2)/X then find the value of X?

enter image description here

...