Evaluate 4 natural log of 2

Problem

4*ln(2)

Solution

1. Identify the expression as a constant value involving the natural logarithm of 2 multiplied by 4.

2. Apply the power property of logarithms, which states n*ln(a)=ln(an) to rewrite the expression.

4*ln(2)=ln(2)

3. Calculate the value of the exponent 2

2=16

4. Substitute the value back into the logarithm to find the exact form.

ln(16)

5. Approximate the numerical value using the constant ln(2)≈0.6931

4×0.6931=2.7724

Final Answer

4*ln(2)=ln(16)

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