Simplify/Condense e^(3 natural log of x)

Problem

e(3*ln(x))

Solution

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

ln(x3)

2. Identify the inverse relationship between the natural exponential function ex and the natural logarithmic function ln(x)

eln(u)=u

3. Simplify the expression by applying this inverse property to the term eln(x3)

x3

Final Answer

e(3*ln(x))=x3

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