Simplify e^( natural log of x)

Problem

e^ln(x)

Solution

1. Identify the relationship between the exponential function e^x and the natural logarithmic function ln(x)

2. Recognize that the exponential function and the natural logarithm are inverse functions of each other.

3. Apply the inverse property of logarithms, which states that e^ln(u)=u for any u>0

4. Simplify the expression by canceling the inverse operations to leave only the argument x

Final Answer

e^ln(x)=x

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