olymmath

INMO 1986 Problem 2

    Solve {log⁡2x+log⁡4y+log⁡4z=2log⁡3y+log⁡9z+log⁡9x=2log⁡4z+log⁡16x+log⁡16y=2\left\{ \begin{array}{l} \log_2 x+\log_4 y+\log_4 z=2 \log_3 y+\log_9 z+\log_9 x=2 \log_4 z+\log_{16} x+\log_{16} y=2 \end{array} \right.

    Dataset text AI-MO AoPS. Quoted with source.

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