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1959 AMC 12 Question 45

AMC12 · 1959 AMC 12

Question 45

If $$
\begin{aligned} &(\log_3x)(\log_x2x)(\log_{2x}y)\\ &\qquad=\log_xx^2, \end{aligned}
$$ then $y$ equals:
  1. $\dfrac92$
  2. $9$
  3. $18$
  4. $27$
  5. $81$