Level
pending

The value of \(x\) that satisfies the equation

\(8^{x^{x^{x^\cdots}}}=4\)

can be expressed as \(\frac{a\sqrt{b}}{c}\) where \(a,b,\) and \(c\) are positive integers, \(a\) and \(c\) are relatively prime, and \(b\) is not the square of any prime. Find \(abc\).

×

Problem Loading...

Note Loading...

Set Loading...