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Find the value of "x" in this equation:

blue_cristal
in Brain Teasers and Puzzles

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…….._

….../……………......x

…..|………….......x

…..|…………......

∞ <………........

…..|…...…….x

…..|……....x

…...\_....x

..........x = 2

 

In case it is not clear enough: x is raised to the power x, which is raised to the power x, which is raised to the power x and so on. The number of exponents to the power of x is infinite.

 

Have fun !

wouldnt that have to be a number that is larger than 1 by an infinitely small amount?

  • Author
wouldnt that have to be a number that is larger than 1 by an infinitely small amount?

 

Not exactly.

 

By the way, the solution of this equation has an exact result. Approximations and guesses would not do it.

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