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## Homework Statement

Let a; b; c [itex]\in[/itex] (1,∞) and m; n [itex]\in[/itex] (0,∞). Prove that

\log_{b^mc^n} a + \log_{c^ma^n} b +\log_{a^mb^n} c \ge \frac 3 {m + n}

## Homework Equations

## The Attempt at a Solution

I do not even know where to start. A coherent explanation and possible solutions would greatly farther my knowledge of mathematics. Thanks for any and all help.

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