Evaluate 3 natural log of e^4

Problem

3*ln(e4)

Solution

1. Identify the expression as a product of a constant and a natural logarithm involving an exponential base e

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

3*ln(e4)=3⋅4*ln(e)

3. Simplify the natural logarithm of e noting that ln(e)=1 because e1=e

12*ln(e)=12⋅1

4. Calculate the final product.

12⋅1=12

Final Answer

3*ln(e4)=12

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