Tasty Logarithm #5

Algebra Level 4

\[\large \sqrt{1995}x^{\log_{1995}x}=x^2\]

Let \(x_1,x_2....x_n\) be the positive roots of the equation above.

Find \((x_1\cdot x_2\cdot x_3\cdot \cdot \cdot x_n) \pmod {1000}\).

This is the part of this!!
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