Find the logarithm. \[ \log _{10}\left(\frac{1}{10,000}\right)= \]

Step 1 ：Find the logarithm base 10 of \(\frac{1}{10,000}\).

Step 2 ：The logarithm base 10 of a number is the exponent to which 10 must be raised to get that number.

Step 3 ：In this case, we need to find the exponent to which 10 must be raised to get 1/10000.

Step 4 ：We know that 10 raised to the power of -4 equals 1/10000.

Step 5 ：Therefore, the logarithm base 10 of 1/10000 is -4.

Step 6 ：Final Answer: \(\boxed{-4}\)