Step 1 :Find the logarithm base 10 of 0.001. This is asking the question: 10 to what power equals 0.001?
Step 2 :We know that 10 to the power of -3 equals 0.001.
Step 3 :Therefore, the logarithm base 10 of 0.001 should be -3.
Step 4 :Final Answer: \(\boxed{-3}\)