Concurs "Teodor Topan" - problema 2

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maky
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Concurs "Teodor Topan" - problema 2

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Fie \( a,b\in\mathbb{R}, a^2\ne{b} \). Care din numerele \( log_{2a}^2\left(a+\sqrt{b}\right) \) si \( log_{2a}\left(\sqrt{b}\right) \) este mai mare?
Flonta Stelian, Simleu Silvaniei
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