# Solve for x natural log of x-6+ natural log of x+1 = natural log of x-15 Simplify the left side.
Use the product property of logarithms, .
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 .
Multiply by .
Multiply by .
Subtract from .
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.
Subtract from both sides of the equation.
Subtract from .
Move to the left side of the equation by adding it to both sides.
Factor using the perfect square rule.
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Set equal to and solve for .
Set the factor equal to .
Add to both sides of the equation.
The solution is the result of .
Exclude the solutions that do not make true.
No solution
Solve for x natural log of x-6+ natural log of x+1 = natural log of x-15   ## Download our App from the store

### Create a High Performed UI/UX Design from a Silicon Valley.  Scroll to top