Evaluate or simplify the expression without using a calculator.
-$\log 0.01$
A) $- 2$
B) 2
C) $- \frac { 1 } { 2 }$
D) $\frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

We know that $\log 0.01 = \log \left(\frac{1}{100}\right) = \log 1 - \log 100$. 
Since $\log 1=0$, we have $\log 0.01 = -\log 100 = -2\log 10$. 
Since $\log 10 = 1$, we have $-\log 10=-1$ and therefore $-2\log 10 = -2$. 
Thus, $\log 0.01 = -2$.

Evaluate or Simplify the Expression Without Using a Calculator log⁡0.01\log 0.01log0.01

Evaluate or Simplify the Expression Without Using a Calculator $\log 0.01$