Evaluate. Round to the nearest thousandth, if necessary.
-$\log 0.001$
A) $- \frac { 1 } { 3 }$
B) $\frac { 1 } { 3 }$
C) $- 3$
D) 3

Question

Quizplus · Accepted Answer

Using the definition of logarithms, we have:
$$\log_{10}0.001 = x$$
$$10^x = 0.001$$
Taking the inverse of both sides:
$$\frac{1}{10^x} = \frac{1}{0.001}$$
$$10^{-x} = 1000$$
Therefore, $x = -3$. Rounded to the nearest thousandth, $-3$ remains $-3$. So, the answer is (C).

Evaluate Round to the Nearest Thousandth, If Necessary log⁡0.001\log 0.001log0.001 A) −13- \frac { 1 } { 3 }−31​

Evaluate Round to the Nearest Thousandth, If Necessary $\log 0.001$ A) $- \frac { 1 } { 3 }$