\( ? \) QUESTION Solve for \( x \) \( 3 \ln (x-6)=15 \)

First, let's isolate the natural logarithm by dividing both sides by 3: \(\ln(x-6) = 5\). Now, to eliminate the logarithm, we exponentiate both sides using the base \( e \): \(x-6 = e^5\). Therefore, \(x = e^5 + 6\). You can compute \( e^5 \) to get a numerical value, approximately \( 148.41 \), leading to \(x \approx 154.41\). To verify your solution, plug \(x\) back into the original equation. If the left-hand side equals the right-hand side, you’ve successfully arrived at the correct solution!