Help!!

How does \({x}^{{x}^{{x}^{{x}^{...}}}} = x^2\)?

because x^x^x^x .... =2

so

x^(x^x^x^x..) = x^2

I'm sorry, I am confused on x^(x^x^x^x..) = x^2. How do you decide this?

It says in the question that x^x^x^x.... =2 

so

x^(x^x^x^x...)  must be  x^2

Thanks Rom,

Would it be fair to say that the fallacy in my answer is that i assumed such an x existed in the first place ?

Thanks Alan :)