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Romanian National Olympiad 2024 - Grade 10 - Problem 1

Source: Romanian National Olympiad 2024 - Grade 10 - Problem 1

April 4, 2024
algebra

Problem Statement

Solve over the real numbers the equation 3log⁡5(5x−10)−2=5−1+log⁡3x.3^{\log_5(5x-10)}-2=5^{-1+\log_3x}.
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