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1968 AMC 12 Question 29

AMC12 · 1968 AMC 12

Question 29

Given the three numbers $x,$ $y=x^x,$ $z=x^{(x^x)},$ with $0.9\lt x\lt1.0.$ Arranged in order of increasing magnitude, they are:
  1. $x,$ $z,$ $y$
  2. $x,$ $y,$ $z$
  3. $y,$ $x,$ $z$
  4. $y,$ $z,$ $x$
  5. $z,$ $x,$ $y$