Logarithm Evaluation 74E6Ed

1. The problem is to evaluate $\ln e^{2}$. 2. Recall the logarithm power rule: $\ln a^{b} = b \ln a$. 3. Since $\ln e = 1$, we can simplify: $$\ln e^{2} = 2 \ln e = 2 \times 1 = 2$$ 4. Therefore, the value of $\ln e^{2}$ is 2.