Write the equation in exponential form. $$ \log _{3} 81=4 $$ $$ [?]=\square $$

Question

UpStudy AI · Accepted Answer

To convert the logarithmic equation $$ \log_{3} 81 = 4 $$ into its exponential form, you can use the definition of a logarithm:

$$
\log_{b} a = c \quad \text{is equivalent to} \quad b^{c} = a
$$

Applying this to your equation:

$$
\log_{3} 81 = 4 \quad \Rightarrow \quad 3^{4} = 81
$$

**Exponential Form:**

$$
3^{4} = 81
$$
$$ 3^{4} = 81 $$

Write the equation in
exponential form.