5-Day Olympiad Challenge
p00191 easy 10th grade
algebra logarithms inequalities
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Let \(a,b,m \in (0,1)\) or \(a,b,m \in (1, \infty)\). Prove that: \[ \frac{2\log_{ab}m}{\sqrt{\log_am \cdot \log_bm}} \le 1 \]
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