algebra precalculus - How do I simplify $log (1/sqrt{1000})$?

How do I simplify $\log \left(\displaystyle\frac{1}{\sqrt{1000}}\right)$?

What I have done so far:

1) Used the difference property of logarithms
$$\log \left(\displaystyle\frac{1}{\sqrt{1000}}\right) = \log(1) - \log(\sqrt{1000})$$

2) Used the exponent rule for logarithm

$$\log (1) - \frac{1}{2}\log (1000)$$

I'm stuck at this point. Can someone explain why and what I must do to solve this equation?