Evaluate 2 natural log of 2

Problem

2*ln(2)

Solution

1. Identify the expression as a multiple of a natural logarithm, where the base is e

2. Apply the power rule of logarithms, which states n*ln(a)=ln(an)

3. Substitute the values into the rule to move the coefficient into the exponent.

ln(2)

4. Simplify the expression by calculating the square of the number inside the logarithm.

ln(4)

5. Approximate the numerical value if needed, though the exact form is usually preferred.

ln(4)≈1.386

Final Answer

2*ln(2)=ln(4)

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