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A Logarithm Inequality Problem

Show that \[\log_{a}bc+\log_{b}ca+\log_{c}ab\geq 4(\log_{ab}c+\log_{bc}a+\log_{ca}b)\] for all \(a , b , c\) greater than 1.

Note by Dexter Woo Teng Koon
2 months, 2 weeks ago

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