Let x, y and z are real numbers satisfyi...

Let `x`, `y` and `z` are real numbers satisfying the system of equations `log_(2)(xyz-3+log_(5)x)=5`
`log_(3)(xyz-3+log_(5)y)=4`
`log_(4)(xyz-3+log_(5)z)=4` then the value of
`|log_(5)x|+|log_(5)y|+|log_(5)z|` is

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