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1975 AMC 12 Question 19

AMC12 · 1975 AMC 12

Question 19

Which positive numbers $x$ satisfy the equation $(\log_3x)(\log_x5)=\log_35?$
  1. $3$ and $5$ only
  2. $3,$ $5$ and $15$ only
  3. only numbers of the form $5^n\cdot3^m,$ where $n$ and $m$
    are positive integers
  4. all positive $x\ne1$
  5. none of these