Answer
$$x=\frac{1}{3}$$
Work Step by Step
To solve this problem, since there are only logarithms with the same base on either side of the equation, we cancel out the logarithms. Then, we solve for x.
$$5-12x=6x-1\\ x=\frac{1}{3}
$$
Checking for extraneous solutions, by plugging the value of x back into the equation and checking if it yields a true statement, we see that the solution is correct.
