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1965 AMC 12 Question 21

AMC12 · 1965 AMC 12

Question 21

It is possible to choose $x\gt\dfrac23$ in such a way that the value of

$$
\log_{10}(x^2+3)-2\log_{10}x
$$

is:
  1. negative
  2. zero
  3. one
  4. smaller than any positive number that might be
    specified
  5. greater than any positive number that might be specified