Solve for x 4e^(2x)=40

Problem

4*e(2*x)=40

Solution

1. Divide both sides of the equation by 4 to isolate the exponential term.

e(2*x)=10

2. Apply the natural logarithm to both sides to eliminate the base e

ln(e(2*x))=ln(10)

3. Simplify the left side using the property ln(eu)=u

2*x=ln(10)

4. Solve for x by dividing both sides by 2

x=ln(10)/2

Final Answer

x=ln(10)/2

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