Evaluate natural log of 8

Problem

ln(8)

Solution

1. Identify the expression as the natural logarithm of the number 8

2. Rewrite the argument 8 as a power of 2 to simplify the expression using logarithmic properties.

8=2

3. Apply the power rule for logarithms, which states ln(ab)=b*ln(a)

ln(2)=3*ln(2)

4. Approximate the value if a decimal is required, using the constant ln(2)≈0.6931

3×0.6931≈2.0794

Final Answer

ln(8)=3*ln(2)≈2.0794

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