Question

Log(x-1) + log(2x-3) = 1?

Answer 1

Step 1:

The logarithmic equation is .

Apply product rule in logarithms : .

Cancel log on each side.

.

Step 2:

Solve the equation by factorization.

Apply zero product property.

and

and

and

Logarthim of a negative number is not possible, so consider .

Solution:

.