Final answer:
The evaluation of the logarithm ln e^3 simplifies to just 3 because the natural logarithm and the constant e are inverse functions.
Step-by-step explanation:
To evaluate the logarithm ln(e^3), we can use the property that ln(e^x) = x. In this case, ln(e^3) equals 3. Therefore, the correct option is: Option 1: 3. Explanation: The natural logarithm ln(e^3) simplifies to 3 because the logarithm base e of e^3 is equal to 3. In mathematics, the natural logarithm with base e, denoted as ln, is the inverse function to exponentiation with base e. The expression ln(e^3) essentially asks, "What power do we raise e to in order to get e^3?" The answer is 3, making Option 1 the correct choice. If you have any additional questions or need further clarification, feel free to ask!