The solution to the equation $\log_x 1000 - \log_x x^2 + (10^{-3})^0 = 0$ is $x = 1000$.

Would you like any further explanation? Here are 5 related questions to expand your understanding:

1. How do logarithmic properties help simplify equations?
2. Why is $(10^{-3})^0 = 1$?
3. What is the inverse operation of a logarithm?
4. Can logarithms have bases other than 10 and $e$?
5. How would the equation change if the base of the logarithm was different?

Tip: When solving logarithmic equations, use properties like the power rule and quotient rule to simplify the terms efficiently.