olymmath

AIME 2017b Problem 7

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Find the number of integer values of kk in the closed interval [−500,500][-500,500] for which the equation log⁡(kx)=2log⁡(x+2)\log(kx)=2\log(x+2) has exactly one real solution.

Dataset text AIME 1983 to 2026. Quoted with source.

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501

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