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

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 \(x = \boxed{2.463}\)