Solve for x e^(2x-1)=e^4

Problem

e(2*x−1)=e4

Solution

1. Identify the equation as an exponential equation where both sides have the same base e

2. Apply the property of equality for exponential functions, which states that if bu=bv then u=v

2*x−1=4

3. Isolate the term containing x by adding 1 to both sides of the equation.

2*x=5

4. Solve for x by dividing both sides by 2

x=5/2

Final Answer

x=5/2

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