olymmath

KöMaL 2014 B4675

    Which is greater: log⁡34⋅log⁡36⋅log⁡38⋅⋯⋅log⁡32012⋅log⁡32014\log_{3}4\cdot \log_{3}6 \cdot \log_{3}8\cdot \dots \cdot \log_{3}2012 \cdot \log_{3}2014 or 2⋅log⁡33⋅log⁡35⋅log⁡37⋅⋯⋅log⁡32011⋅log⁡32013?2\cdot \log_{3}3\cdot \log_{3}5 \cdot \log_{3}7\cdot \dots \cdot \log_{3} 2011 \cdot \log_{3} 2013?

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