Evaluate e^(3 natural log of 2)

Problem

e(3*ln(2))

Solution

1. Apply the power property of logarithms to the exponent, which states that a*ln(b)=ln(ba)

3*ln(2)=ln(2)

2. Simplify the power inside the natural logarithm.

2=8

3. Substitute the simplified exponent back into the original expression.

eln(8)

4. Apply the inverse property of exponents and logarithms, which states that eln(x)=x

eln(8)=8

Final Answer

e(3*ln(2))=8

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