MathDB
AHSME 1950- part 3

Source:

July 20, 2008

Problem Statement

The equation x^{x^{x}}...\equal{}2 is satisfied when xx is equal to:
<spanclass=latexbold>(A)</span> <spanclass=latexbold>(B)</span> 2<spanclass=latexbold>(C)</span> 24<spanclass=latexbold>(D)</span> 2<spanclass=latexbold>(E)</span> None of these<span class='latex-bold'>(A)</span>\ \infty \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ \sqrt[4]{2} \qquad <span class='latex-bold'>(D)</span>\ \sqrt{2} \qquad <span class='latex-bold'>(E)</span>\ \text{None of these}