log(x+1)=2log(x-1)

Solution for log(x+1)=2log(x-1) equation:

Simplifying
log(x + 1) = 2log(x + -1)

Reorder the terms:
glo(1 + x) = 2log(x + -1)
(1 * glo + x * glo) = 2log(x + -1)
(1glo + glox) = 2log(x + -1)

Reorder the terms:
1glo + glox = 2glo(-1 + x)
1glo + glox = (-1 * 2glo + x * 2glo)
1glo + glox = (-2glo + 2glox)

Solving
1glo + glox = -2glo + 2glox

Solving for variable 'g'.

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

Add '2glo' to each side of the equation.
1glo + 2glo + glox = -2glo + 2glo + 2glox

Combine like terms: 1glo + 2glo = 3glo
3glo + glox = -2glo + 2glo + 2glox

Combine like terms: -2glo + 2glo = 0
3glo + glox = 0 + 2glox
3glo + glox = 2glox

Add '-2glox' to each side of the equation.
3glo + glox + -2glox = 2glox + -2glox

Combine like terms: glox + -2glox = -1glox
3glo + -1glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
3glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(3 + -1x) = 0

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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Add 'x' to each side of the equation.
-1x + x = -3 + x

Combine like terms: -1x + x = 0
0 = -3 + x

Simplifying
0 = -3 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.