Evaluate or simplify the expression without using a calculator.
-$\log \left( \frac { 1 } { 10,000 } \right)$
A) $- 4$
B) 4
C) $\frac { 1 } { 10,000 }$
D) $- \frac { 1 } { 4 }$

Question

Quizplus · Accepted Answer

We can rewrite the expression as $\log\left(\frac{1}{10^4}ight)$. Using the property that $\log_{a}b=-\log_{b}a$, we can rewrite the expression again as $-\log(10^4)$. Since $\log(10^4)=4$, we have $-\log(10^4)=-4$. Therefore, the answer is $\boxed{	extbf{(A)}\,-4}$.

Evaluate or Simplify the Expression Without Using a Calculator log⁡(110,000)\log \left( \frac { 1 } { 10,000 } \right)log(10,0001​)

Evaluate or Simplify the Expression Without Using a Calculator $\log \left( \frac { 1 } { 10,000 } \right)$