solve 2 log7(1-2x)=12

Question

please help. also check for extraneous solutions.

Answer 1

The logarithmic equation is .

Divide each side by 2.

Apply exponential formula: .

Subtract 1 from each side.

Divide each side by negative 2.

.

Check:-

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

Divide each side by 2.

Apply exponential formula: .

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