Evaluate ( natural log of 1/2)/10

Problem

ln(1/2)/10

Solution

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

ln(1/2)=ln(1)−ln(2)

2. Evaluate the natural log of 1, knowing that ln(1)=0

ln(1)−ln(2)=0−ln(2)

3. Simplify the numerator by removing the zero.

0−ln(2)=−ln(2)

4. Substitute the simplified numerator back into the original expression.

(−ln(2))/10

Final Answer

ln(1/2)/10=−ln(2)/10

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