1. The problem is to find the value of the expression $$3 \log_3 27 + \ln 1$$. 2. Recall the logarithm rules: $$\log_a a^x = x$$ and the natural logarithm rule: $$\ln 1 = 0$$. 3. Evaluate $$\log_3 27$$. Since $$27 = 3^3$$, we have $$\log_3 27 = 3$$. 4. Substitute back into the expression: $$3 \log_3 27 + \ln 1 = 3 \times 3 + 0$$. 5. Simplify: $$3 \times 3 = 9$$. 6. Therefore, the value of the expression is $$9$$.