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

Subtract from both sides of the equation.

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

Subtract from .

Factor the left side of the equation.

Factor out of .

Reorder and .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Factor.

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Remove unnecessary parentheses.

Set equal to and solve for .

Set the factor equal to .

Subtract from 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 .

Solve for x log base 9 of -11x+2 = log base 9 of x^2+30