Stacking Logs Side By Side

Algebra Level 3

Find the sum of the roots of the equation

(log3x)(log4x)(log5x)=(log3x)(log4x)+(log4x)(log5x)+(log3x)(log5x). (\log_3x)(\log_4x)(\log_5x) = (\log_3x)(\log_4x) +(\log_4x)(\log_5x) +(\log_3x)(\log_5x).

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