# Solve for x log of (x-1)^2 = log of -5x-1

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Solve for .
Move all terms containing to the left side of the equation.
Add to both sides of the equation.
Simplify the left side of the equation.
Simplify each term.
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Rewrite as .
Rewrite as .
Multiply by .
Subtract from .
Move to the left side of the equation by adding it to both sides.
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.
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 of (x-1)^2 = log of -5x-1