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1962 AMC 12 Question 28

AMC12 · 1962 AMC 12

Question 28

The set of $x$-values satisfying the equation $$
x^{\log_{10}x}=\frac{x^3}{100}
$$ consists of:
  1. $\dfrac1{10},$ only
  2. $10,$ only
  3. $100,$ only
  4. $10$ or $100,$ only
  5. more than two real numbers