Use the product property of logarithms, .

Apply the distributive property.

Simplify the expression.

Multiply by .

Move to the left of .

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 .

Move to the left side of the equation by subtracting it from both sides.

Factor using the AC method.

Write the factored form using these integers.

Set equal to and solve for .

Set the factor equal to .

Add to both sides of the equation.

Set equal to and solve for .

Set the factor equal to .

Subtract from both sides of the equation.

The solution is the result of and .

Exclude the solutions that do not make true.

Solve for x log base 4 of x+ log base 4 of x-6=2