Solve for x 6e^(5x-6)-4=50

Problem

6*e(5*x−6)−4=50

Solution

1. Isolate the exponential term by adding 4 to both sides of the equation.

6*e(5*x−6)=54

2. Divide both sides by 6 to further isolate the base e

e(5*x−6)=9

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

ln(e(5*x−6))=ln(9)

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

5*x−6=ln(9)

5. Isolate the variable term by adding 6 to both sides.

5*x=ln(9)+6

6. Solve for x by dividing both sides by 5

x=(ln(9)+6)/5

Final Answer

x=(ln(9)+6)/5

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