Simplify 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(b^a)

e^(3*ln(x))=e^ln(x^3)

2. Use the inverse property of exponential and logarithmic functions, which states that e^ln(u)=u

e^ln(x^3)=x^3

Final Answer

e^(3*ln(x))=x^3

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