A quick quiz on Maths.

If you are given that $x^{x^{x^{...}}} = 2$, then find the value of x?

Soln. Since, $x^{x^{x^{...}}} = 2$, (an infinite exponential in x)
we can write, $x^{2} = 2$
i.e. $x = \sqrt{2}$ (Q.E.D.)