Ln(x-1)+ln(x)=ln(x+8)

Solution for Ln(x-1)+ln(x)=ln(x+8) equation:

Simplifying
Ln(x + -1) + ln(x) = ln(x + 8)

Reorder the terms:
nL(-1 + x) + ln(x) = ln(x + 8)
(-1 * nL + x * nL) + ln(x) = ln(x + 8)
(-1nL + nxL) + ln(x) = ln(x + 8)

Multiply ln * x
-1nL + nxL + lnx = ln(x + 8)

Reorder the terms:
lnx + -1nL + nxL = ln(x + 8)

Reorder the terms:
lnx + -1nL + nxL = ln(8 + x)
lnx + -1nL + nxL = (8 * ln + x * ln)
lnx + -1nL + nxL = (8ln + lnx)

Add '-1lnx' to each side of the equation.
lnx + -1nL + -1lnx + nxL = 8ln + lnx + -1lnx

Reorder the terms:
lnx + -1lnx + -1nL + nxL = 8ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 + -1nL + nxL = 8ln + lnx + -1lnx
-1nL + nxL = 8ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1nL + nxL = 8ln + 0
-1nL + nxL = 8ln

Solving
-1nL + nxL = 8ln

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-8ln' to each side of the equation.
-1nL + -8ln + nxL = 8ln + -8ln

Reorder the terms:
-8ln + -1nL + nxL = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-8ln + -1nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8l + -1L + xL) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0
Subproblem 2
Set the factor '(-8l + -1L + xL)' equal to zero and attempt to solve:

Simplifying
-8l + -1L + xL = 0

Reorder the terms:
-1L + -8l + xL = 0

Solving
-1L + -8l + xL = 0

Move all terms containing n to the left, all other terms to the right.

Add 'L' to each side of the equation.
-1L + -8l + L + xL = 0 + L

Reorder the terms:
-1L + L + -8l + xL = 0 + L

Combine like terms: -1L + L = 0
0 + -8l + xL = 0 + L
-8l + xL = 0 + L
Remove the zero:
-8l + xL = L

Add '8l' to each side of the equation.
-8l + 8l + xL = L + 8l

Combine like terms: -8l + 8l = 0
0 + xL = L + 8l
xL = L + 8l

Add '-1xL' to each side of the equation.
xL + -1xL = L + 8l + -1xL

Combine like terms: xL + -1xL = 0
0 = L + 8l + -1xL

Simplifying
0 = L + 8l + -1xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}