Log(x+2)=(log(x^2-4)-log(x^2-x-2))

Solution for Log(x+2)=(log(x^2-4)-log(x^2-x-2)) equation:

Simplifying
Log(x + 2) = (log(x2 + -4) + -1log(x2 + -1x + -2))

Reorder the terms:
goL(2 + x) = (log(x2 + -4) + -1log(x2 + -1x + -2))
(2 * goL + x * goL) = (log(x2 + -4) + -1log(x2 + -1x + -2))
(2goL + goxL) = (log(x2 + -4) + -1log(x2 + -1x + -2))

Reorder the terms:
2goL + goxL = (glo(-4 + x2) + -1log(x2 + -1x + -2))
2goL + goxL = ((-4 * glo + x2 * glo) + -1log(x2 + -1x + -2))
2goL + goxL = ((-4glo + glox2) + -1log(x2 + -1x + -2))

Reorder the terms:
2goL + goxL = (-4glo + glox2 + -1glo(-2 + -1x + x2))
2goL + goxL = (-4glo + glox2 + (-2 * -1glo + -1x * -1glo + x2 * -1glo))
2goL + goxL = (-4glo + glox2 + (2glo + 1glox + -1glox2))

Reorder the terms:
2goL + goxL = (-4glo + 2glo + 1glox + glox2 + -1glox2)

Combine like terms: -4glo + 2glo = -2glo
2goL + goxL = (-2glo + 1glox + glox2 + -1glox2)

Combine like terms: glox2 + -1glox2 = 0
2goL + goxL = (-2glo + 1glox + 0)
2goL + goxL = (-2glo + 1glox)

Remove parenthesis around (-2glo + 1glox)
2goL + goxL = -2glo + 1glox

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

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.
2goL + 2glo + goxL = -2glo + 2glo + 1glox

Reorder the terms:
2glo + 2goL + goxL = -2glo + 2glo + 1glox

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

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

Reorder the terms:
2glo + -1glox + 2goL + goxL = 1glox + -1glox

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

Factor out the Greatest Common Factor (GCF), 'go'.
go(2l + -1lx + 2L + 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 '(2l + -1lx + 2L + xL)' equal to zero and attempt to solve:

Simplifying
2l + -1lx + 2L + xL = 0

Reorder the terms:
2L + 2l + -1lx + xL = 0

Solving
2L + 2l + -1lx + xL = 0

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

Add '-2L' to each side of the equation.
2L + 2l + -1lx + -2L + xL = 0 + -2L

Reorder the terms:
2L + -2L + 2l + -1lx + xL = 0 + -2L

Combine like terms: 2L + -2L = 0
0 + 2l + -1lx + xL = 0 + -2L
2l + -1lx + xL = 0 + -2L
Remove the zero:
2l + -1lx + xL = -2L

Add '-2l' to each side of the equation.
2l + -1lx + -2l + xL = -2L + -2l

Reorder the terms:
2l + -2l + -1lx + xL = -2L + -2l

Combine like terms: 2l + -2l = 0
0 + -1lx + xL = -2L + -2l
-1lx + xL = -2L + -2l

Add 'lx' to each side of the equation.
-1lx + lx + xL = -2L + -2l + lx

Combine like terms: -1lx + lx = 0
0 + xL = -2L + -2l + lx
xL = -2L + -2l + lx

Add '-1xL' to each side of the equation.
xL + -1xL = -2L + -2l + lx + -1xL

Combine like terms: xL + -1xL = 0
0 = -2L + -2l + lx + -1xL

Simplifying
0 = -2L + -2l + lx + -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.