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1950 AMC 12 Question 37

AMC12 · 1950 AMC 12

Question 37

If $y=\log_a x,$ $a>1,$ which of the following statements is incorrect?
  1. If $x=1,$ $y=0$
  2. If $x=a,$ $y=1$
  3. If $x=-1,$ $y$ is imaginary (complex)
  4. If $0<x<1,$ $y$ is always less than $0$ and
    decreases without limit as $x$ approaches zero
  5. Only some of the above statements are
    correct