Just Root Itself

Calculus Level 4

\[\LARGE x^{x^{x^{\cdot^{\cdot^\cdot}}}} = 1, \qquad x^{x^{x^{\cdot^{\cdot^\cdot}}}} = 2,\qquad x^{x^{x^{\cdot^{\cdot^\cdot}}}} = 3, \qquad x^{x^{x^{\cdot^{\cdot^\cdot}}}} = 4 \]

The above shows 4 equations. How many of these infinitely nested equations yields a solution for \(x\)?

×

Problem Loading...

Note Loading...

Set Loading...