Log(x+1)+log(x-1)=log(x+5)

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Solution for Log(x+1)+log(x-1)=log(x+5) equation: 


Simplifying
Log(x + 1) + log(x + -1) = log(x + 5)

Reorder the terms:
goL(1 + x) + log(x + -1) = log(x + 5)
(1 * goL + x * goL) + log(x + -1) = log(x + 5)
(1goL + goxL) + log(x + -1) = log(x + 5)

Reorder the terms:
1goL + goxL + glo(-1 + x) = log(x + 5)
1goL + goxL + (-1 * glo + x * glo) = log(x + 5)
1goL + goxL + (-1glo + glox) = log(x + 5)

Reorder the terms:
-1glo + glox + 1goL + goxL = log(x + 5)

Reorder the terms:
-1glo + glox + 1goL + goxL = glo(5 + x)
-1glo + glox + 1goL + goxL = (5 * glo + x * glo)
-1glo + glox + 1goL + goxL = (5glo + glox)

Add '-1glox' to each side of the equation.
-1glo + glox + 1goL + -1glox + goxL = 5glo + glox + -1glox

Reorder the terms:
-1glo + glox + -1glox + 1goL + goxL = 5glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-1glo + 0 + 1goL + goxL = 5glo + glox + -1glox
-1glo + 1goL + goxL = 5glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-1glo + 1goL + goxL = 5glo + 0
-1glo + 1goL + goxL = 5glo

Solving
-1glo + 1goL + goxL = 5glo

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
-1glo + 1goL + -5glo + goxL = 5glo + -5glo

Reorder the terms:
-1glo + -5glo + 1goL + goxL = 5glo + -5glo

Combine like terms: -1glo + -5glo = -6glo
-6glo + 1goL + goxL = 5glo + -5glo

Combine like terms: 5glo + -5glo = 0
-6glo + 1goL + goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-6l + L + xL) = 0


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

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-6l + L + xL)' equal to zero and attempt to solve:

Simplifying
-6l + L + xL = 0

Reorder the terms:
L + -6l + xL = 0

Solving
L + -6l + xL = 0

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

Add '-1L' to each side of the equation.
L + -6l + -1L + xL = 0 + -1L

Reorder the terms:
L + -1L + -6l + xL = 0 + -1L

Combine like terms: L + -1L = 0
0 + -6l + xL = 0 + -1L
-6l + xL = 0 + -1L
Remove the zero:
-6l + xL = -1L

Add '6l' to each side of the equation.
-6l + 6l + xL = -1L + 6l

Combine like terms: -6l + 6l = 0
0 + xL = -1L + 6l
xL = -1L + 6l

Add '-1xL' to each side of the equation.
xL + -1xL = -1L + 6l + -1xL

Combine like terms: xL + -1xL = 0
0 = -1L + 6l + -1xL

Simplifying
0 = -1L + 6l + -1xL

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.

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