Question

solve the logarithmic equation log7(3-2x)=3 also check for extraneous solutions.

Answer 1

The logarithmic equation is .

Apply exponential formula: .

Subtract 3 from each side.

Divide each side by negative 2.

.

Check:-

To check the solution, substitute the value of in original equation.

Apply exponential formula: .

The statement is true, so the value of in the solution of original equation.