Evaluate. Round to the nearest thousandth, if necessary.
-$\log 10,000$
A) 5
B) $- 4$
C) 3
D) 4

Question

Quizplus · Accepted Answer

The definition of the logarithm is that $\log_b x=y$ if and only if $b^y=x$. In this case, we need to find the value of $y$ such that $10^y=10{,}000$. We notice that $10{,}000=10^4$, so $y=4$. Therefore, $\log 10{,}000=4$. Rounded to the nearest thousandth, this is still 4. The answer is $\boxed{	extbf{(D)}}$.

Evaluate Round to the Nearest Thousandth, If Necessary log⁡10,000\log 10,000log10,000 A) 5 B)

Evaluate Round to the Nearest Thousandth, If Necessary $\log 10,000$ A) 5
B)