I just checked out a video in which for the problem
x^x^x^...... = 2 Following method was used
x² = 2
x = √2

But is this solution possible if the number of times the exponent is raised to power x is defined?

Question

I just checked out a video in which for the problem
x^x^x^...... = 2 Following method was used 
x² = 2
x = √2

But is this solution possible if the number of times the exponent is raised to power x is defined?

faiqraees · Answer

@ganeshie8

faiqraees · Answer

I have to go right now so if you post please post a complete answer

ganeshie8 · Answer

The limiting value is 2 here.
If you take the exponent only a fixed number of times, the value only gets closer to the 2

ganeshie8 · Answer

http://m.wolframalpha.com/input/?i=sqrt2%5Esqrt2+%5Esqrt2+%5Esqrt2+%5Esqrt2+%5Esqrt2&x=0&y=0

princeharryyy · Answer

X^3 =2 implies x is equal to cube root of 2, x^4=2 implies x is equal to fourth root of 2 and so on... So yes it does...