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MathNet 2024-part-06 — 165 problems (EN–VI) Question 1

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 1

What value of $x$ satisfies
$$
\frac{\log_2 x \cdot \log_3 x}{\log_2 x + \log_3 x} = 2?
$$
(A) 25 (B) 32 (C) 36 (D) 42 (E) 48