Question

The logarithm form of $3^{-2}=\frac{1}{9}$ is ${\log }_3\frac{1}{9}=m$, then value of $m$ is equal to

• A. $-2$
• B. $-3$
• C. $-4$
• D. $-5$

Answer 1

The correct option is A $-2$

Given, ${\log }_3\frac{1}{9}=m$ ....(1)

Now, $3^{-2}=\frac{1}{9}$

Convert in Logarithm form, we get,
${\log }_3\frac{1}{9}=-2$ ...(2)
from (1) and (2), we get
$m=-2$