Quiz: Evaluate Logarithms Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form. \( \quad \log \frac{1}{1000}=\square \) Save answer Skip to next question >

To evaluate \( \log \frac{1}{1000} \), you can remember that \( 1000 = 10^3 \). Therefore, \( \frac{1}{1000} = 10^{-3} \). Using the properties of logarithms, we get \( \log \frac{1}{1000} = \log (10^{-3}) \), which simplifies to \( -3 \). So, the answer is \( \boxed{-3} \). In essence, logarithms are all about exponents! They tell you the power to which a number (the base) must be raised to produce another number. This concept is broader than simple calculations and finds its way into a variety of fields, such as science for measuring pH levels and sound intensity (decibels), making it a real-world hero.