Use the quotient property of logarithms, .

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

Multiply both sides of the equation by .

Simplify each term.

Move to the left of .

Multiply by .

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Subtract from .

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Solve for x log base 6 of 2x- log base 6 of 3 = log base 6 of x-1