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

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

Subtract from both sides of the equation.

Subtract from .

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Solve for x log base 5 of 5x+9 = log base 5 of 6x