Evaluate the expression without using a calculator.
-$\log _ { 10 } 1000$
A) 3
B) 30
C) $\frac { 1 } { 1000 }$
D) $- 3$ 1000

Question

Quizplus · Accepted Answer

The logarithm of a number tells you what power you need to raise the base to in order to get that number. In this case, the base is 10 (because it's a common logarithm) and the number we're looking at is 1000. So we need to find out what power of 10 gives us 1000. We can see that 10 raised to the power of 3 (10^3) gives us 1000, so the answer is 3.

Evaluate the Expression Without Using a Calculator log⁡101000\log _ { 10 } 1000log10​1000

Evaluate the Expression Without Using a Calculator $\log _ { 10 } 1000$