Evaluate 4 natural log of e^2

Problem

4*ln(e2)

Solution

1. Identify the expression as a logarithmic term involving the natural logarithm ln(x) which has a base of e

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

4*ln(e2)=4⋅2*ln(e)

3. Evaluate the natural logarithm of the base, noting that ln(e)=1

8*ln(e)=8⋅1

4. Multiply the remaining constants to find the final value.

8⋅1=8

Final Answer

4*ln(e2)=8

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