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

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