What is 3 ln 3 minus natural log 9 expressed as a single natural logarithm?

Use the logarithm rules: 3 ln 3 = ln(3³) = ln 27, and subtracting logarithms means dividing their arguments. Thus ln 27 − ln 9 = ln(27/9) = ln 3, so the expression is the natural log of 3.

AI-written and checked against the verified answer.