The number of solution of the equation \( \log _{3}|x-1| \cdot \log _{4}|x-1| \cdot \log _{5}|x-...

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The number of solution of the equation \( \log _{3}|x-1| \cdot \log _{4}|x-1| \cdot \log _{5}|x-1| \) \( =\log _{5}|x-1|+\log _{3}|x-1| \cdot \log _{4}|x-1| \) are
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