Evaluate natural log of 5- square root of 6

Problem

ln(5−√(,6))

Solution

1. Identify the expression as the natural logarithm of the difference between 5 and the square root of 6

2. Calculate the value of the square root of 6 which is approximately 2.4494897

3. Subtract this value from 5 to find the argument of the logarithm: $5 - 2.4494897 = 2.5505103$.

4. Apply the natural logarithm function to the result: ln(2.5505103)≈0.9363

Final Answer

ln(5−√(,6))≈0.9363

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