Solve for x 3 natural log of 2x+1=9

Problem

3*ln(2*x+1)=9

Solution

1. Isolate the natural logarithm by dividing both sides of the equation by 3

ln(2*x+1)=3

2. Rewrite the equation in exponential form by applying the base e to both sides to remove the natural log.

eln(2*x+1)=e3

2*x+1=e3

3. Isolate the term containing x by subtracting 1 from both sides.

2*x=e3−1

4. Solve for x by dividing both sides by 2

x=(e3−1)/2

Final Answer

x=(e3−1)/2

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