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2014 AMC 12B Question 20

AMC12 · 2014 AMC 12B

Question 20

For how many positive integers $x$ is $\log_{10}(x - 40)$ $+ \log_{10}(60 - x) \lt 2?$
  1. $10$
  2. $18$
  3. $19$
  4. $20$
  5. infinitely many