Solve for $$ x: \quad \log _{3} x=4 $$ $$ \begin{array}{llll} ext { a. } 64 & ext { b. } & 81 \ ext { c. } 243 & ext { d. } & 12\end{array} $$

Question

Solve for $$ x: \quad \log _{3} x=4 $$ $$ \begin{array}{llll}	ext { a. } 64 & 	ext { b. } & 81 \ 	ext { c. } 243 & 	ext { d. } & 12\end{array} $$

UpStudy AI · Accepted Answer

To solve the equation $$ \log_{3} x = 4 $$, we want to find the value of $$ x $$ that satisfies this logarithmic equation.

Recall that $$ \log_{b} a = c $$ is equivalent to $$ b^c = a $$. Applying this to the given equation:

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

Calculating $$ 3^4 $$:

$$
3^4 = 3 \times 3 \times 3 \times 3 = 81
$$

So, $$ x = 81 $$.

**Answer:** b. 81
$$ x = 81 $$

Solve for \( x: \quad \log _{3} x=4 \) \( \begin{array}{llll}\text { a. } 64 & \text { b. } & 81 \\ \text { c. } 243 & \text { d. } & 12\end{array} \)