Evaluate natural log of 5/8

Problem

ln(5/8)

Solution

1. Identify the expression as the natural logarithm of a quotient.

2. Apply the quotient rule for logarithms, which states that ln(a/b)=ln(a)−ln(b)

3. Substitute the values a=5 and b=8 into the formula.

4. Rewrite the expression using the property.

Final Answer

ln(5/8)=ln(5)−ln(8)

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