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AMC 12 2025b Problem 24

  • Paper

How many real numbers satisfy the equation sin⁡(20πx)=log⁡20(x)\sin(20\pi x) = \log_{20}(x)?

(A) 199(B) 200(C) 398(D) 399(E) 400\textbf{(A) } 199 \textbf{(B) } 200 \textbf{(C) } 398 \textbf{(D) } 399 \textbf{(E) } 400

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

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D

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