Question

If ${\log }_{10}x=-2$, then $x$ is equal to

• A. $0.01$
• B. $0.001$
• C. $0.1$
• D. $-0.01$

Answer 1

The correct option is A $0.01$

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