Solve the equation for $x$, if there is a solution. (If there is no solution, enter NO SOLUTION.)
\[
\begin{array}{l}
\ln (3 x)=2 \\
x=\square
\end{array}
\]

Answer

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Answer

Final Answer: The solution to the equation is $x = \boxed{2.463}$

Steps

Step 1 ：Solve the equation for $x$, if there is a solution. (If there is no solution, enter NO SOLUTION.)

Step 2 ：\[\begin{array}{l}\ln (3 x)=2 \x=\square\end{array}\]

Step 3 ：First, we can rewrite the equation in exponential form to isolate $x$.

Step 4 ：$3x = e^2$

Step 5 ：Then, divide both sides by 3 to solve for $x$.

Step 6 ：$x = \frac{e^2}{3}$

Step 7 ：Using a calculator, we find that $x \approx 2.463$.

Step 8 ：Final Answer: The solution to the equation is $x = \boxed{2.463}$