Question

The logarithm of $\frac{1}{16}$ to the base $4$ is equal to

• A. $-2$
• B. $2$
• C. $4$
• D. $-4$

Answer 1

The correct option is A $-2$

${\log }_4\frac{1}{16}=x\text{In exponent form}\frac{1}{16}=4^x\frac{1}{16}=4^{-2}x=-2{\log }_4\frac{1}{16}=-2$