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2024 AMC 12B Question 8

AMC12 · 2024 AMC 12B

Question 8

What value of $x$ satisfies

$$
\frac{\log_2 x \cdot \log_3 x}{\log_2 x + \log_3 x} = 2?
$$
  1. $25$
  2. $32$
  3. $36$
  4. $42$
  5. $48$