Tasty Logarithm #5

Algebra Level 4

1995xlog1995x=x2\large \sqrt{1995}x^{\log_{1995}x}=x^2

Let x1,x2....xnx_1,x_2....x_n be the positive roots of the equation above.

Find (x1x2x3xn)(mod1000)(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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