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AMC 12 2024b Problem 8

  • Paper

What value of xx satisfieslog⁡2x⋅log⁡3xlog⁡2x+log⁡3x=2?\frac{\log_2x\cdot\log_3x}{\log_2x+\log_3x}=2? (A) 25(B) 32(C) 36(D) 42(E) 48\textbf{(A) }25 \textbf{(B) }32 \textbf{(C) }36 \textbf{(D) }42 \textbf{(E) }48

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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