evaluate. write your answer as a whole number, proper fraction, or improper fraction in simplest form.\nlog…

evaluate. write your answer as a whole number, proper fraction, or improper fraction in simplest form.\nlog $\frac{1}{1000}=$

evaluate. write your answer as a whole number, proper fraction, or improper fraction in simplest form.\nlog $\frac{1}{1000}=$

Answer

Answer:

-3

Explanation:

Step1: Recall log - rule

Let $y = \log\frac{1}{1000}$, rewrite $\frac{1}{1000}$ as $10^{- 3}$. So $y=\log_{10}10^{-3}$.

Step2: Use log - property

By the property $\log_a a^x=x$, when $a = 10$ and $x=-3$, we have $y=-3$.