Final answer:
The expression 2ln 3+4 calculated to three decimal places is 6.197. After calculating the natural logarithm of 3 and proceeding with multiplication and addition, we match the result to the given choices, where Option A: 6.197 is the correct answer.
Step-by-step explanation:
The student asked to find the value of 2ln 3+4 correct to three decimal places and identify the correct option from the given choices. To solve this, we need to calculate it step-by-step:
- First, find the natural logarithm of 3, which is approximately 1.0986.
- Then, multiply this value by 2 to get 2.1972.
- After that, add 4 to the previous result to get 6.1972.
- Finally, round this value to three decimal places, which gives us 6.197.
Comparing the result to the given options, the closest match, correct to three decimal places, is Option A: 6.197.