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1965 AMC 12 Question 31

AMC12 · 1965 AMC 12

Question 31

The number of real values of $x$ satisfying the equality $(\log_a x)(\log_b x)=\log_a b,$ where $a$ and $b$ are positive constants different from $1,$ is:
  1. $0$
  2. $1$
  3. $2$
  4. an integer greater than $2$
  5. not finite