Solve for x natural log of e^x=4

Problem

ln(e^x)=4

Solution

1. Identify the property of logarithms where the natural logarithm and the exponential function with base e are inverse functions.

2. Apply the property ln(e^u)=u to the left side of the equation.

3. Simplify the expression by replacing ln(e^x) with x

4. Solve for x directly from the resulting equation.

Final Answer

ln(e^x)=4⇒x=4

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