2. Solve for x in log (2 x+4)-4 operatorname(oy)(x-1) =3 log 2 (3mks)

To solve for in the equation \( \log (2x+4) - 4 \log (x-1) = 3 \log 2 \), we can follow these steps:1. Combine the logarithmic terms on the left side of the equation: 2. Use the properties of logarithms to simplify the equation: 3. Rewrite the equation in exponential form: 4. Simplify the equation: 5. Cross-multiply to get rid of the fraction: 6. Expand and simplify the equation: 7. Move all terms to one side of the equation: 8. Divide the entire equation by 2 to simplify: 9. Solve the quadratic equation using a suitable method, such as factoring, completing the square, or using the quadratic formula.After solving the quadratic equation, we can find the values of that satisfy the original equation.