Question

The value of ${\log }_{10}0.01$ is equal to

• A. $-2$
• B. $-1$
• C. $1$
• D. $2$

Answer 1

The correct option is A $-2$

${\log }_{10}0.01=\frac{\log 0.01}{\log 10}$ ....(since ${\log }_{b}a=\frac{\log a}{\log b}$)
$\therefore \frac{\log {10}^{-2}}{\log 10}=-2$ ($\log a^b=b\log a$)