Question

The value of ${\log }_{\frac{1}{2}}4$ is

• A. $-2$
• B. $0$
• C. $\frac{1}{2}$
• D. $2$

Answer 1

The correct option is A $-2$

Let ${\log }_{\frac{1}{2}}4=x$

Then, $(\frac{1}{2}{)}^x=4$

$Or,(\frac{1}{2}{)}^x=2^2$

$Or,2^{-x}=2^2$

$x=-2$