Simplify each term.

Simplify by moving inside the logarithm.

Raise to the power of .

Simplify by moving inside the logarithm.

Raise to the power of .

Use the product property of logarithms, .

Use the quotient property of logarithms, .

Multiply by .

Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .

Raise to the power of .

Rewrite the equation as .

Solve for .

Multiply each term by and simplify.

Multiply each term in by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Rewrite the equation as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

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