Solve. $$ \log _{3}(m)=2 $$ $$ m=\square $$ Question Help: Video Submit Question

Question

UpStudy AI · Accepted Answer

We are given the logarithmic equation

$$
\log_{3}(m)=2.
$$

Recall that the definition of a logarithm states that

$$
\log_{b}(a)=c \quad \text{if and only if} \quad a=b^c.
$$

Using this definition, we can rewrite the equation as

$$
m=3^2.
$$

Now, compute the power:

$$
m=9.
$$

Thus, the solution is

$$
m=9.
$$
$$ m = 9 $$

Solve. \( \log _{3}(m)=2 \) \( m=\square \) Question Help: Video Submit Question