<p>Given the three numbers <img alt="$x,y=x^x,z=x^{x^x}$" height="19" src="https://latex.artofproblemsolving.com/2/f/b/2fbd92b8fc1d1edfd257b9aa7dea1b88a226c447.png" width="136" /> with <img alt="$.9<x<1.0$" height="13" src="https://latex.artofproblemsolving.com/1/f/a/1fa892c25e4d956c369b338c9b46242595da474a.png" width="95" />. Arranged in order of increasing magnitude.</p> <p> </p>

Question No: 488

Given the three numbers $x,y=x^x,z=x^{x^x}$ with $.9<x<1.0$ . Arranged in order of increasing magnitude.

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Tags: Algebra

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