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1960 AMC 12 Question 24

AMC12 · 1960 AMC 12

Question 24

If $\log_{2x}216=x,$ where $x$ is real, then $x$ is:
  1. a non-square, non-cube integer
  2. a non-square, non-cube, non-integral rational number
  3. an irrational number
  4. a perfect square
  5. a perfect cube