Given that a solution exists, solve the following tower of powers problem: X^x^x^x^x…=2?

4 ⤊

please give good explanation
Given that a solution exists, solve the following tower of powers problem: X^x^x^x^x…=2

2007-11-19 19:06:27 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

Since x^x^x^x... = 2, you can substitute 2 into the big "tower of powers"

x^(2) = 2

Take the square root of both sides:
sqrt(x²) = sqrt(2)

x = √2

2007-11-19 19:26:57 · answer #1 · answered by Puzzling 7 · 4⤊ 0⤋

X=2
x=1
Unless thats a typo :P

2007-11-19 19:10:03 · answer #2 · answered by enividaliehs 2 · 0⤊ 3⤋