Solve for x natural log of 4+x=2

Problem

ln(4+x)=2

Solution

1. Identify the logarithmic equation, which has a base of e

2. Rewrite the equation in exponential form by raising the base e to the power of both sides.

e^ln(4+x)=e^2

3. Simplify the left side using the inverse property e^ln(u)=u

4+x=e^2

4. Isolate the variable x by subtracting 4 from both sides of the equation.

x=e^2−4

Final Answer

ln(4+x)=2⇒x=e^2−4

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