Solve for x 2e^(12x)=17

Problem

2*e(12*x)=17

Solution

1. Isolate the exponential term by dividing both sides of the equation by 2

e(12*x)=17/2

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

ln(e(12*x))=ln(17/2)

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

12*x=ln(17/2)

4. Solve for x by dividing both sides by 12

x=ln(17/2)/12

Final Answer

x=ln(8.5)/12

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