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

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

Simplifying
log(x + 2) + log(x + -4) = 2

Reorder the terms:
glo(2 + x) + log(x + -4) = 2
(2 * glo + x * glo) + log(x + -4) = 2
(2glo + glox) + log(x + -4) = 2

Reorder the terms:
2glo + glox + glo(-4 + x) = 2
2glo + glox + (-4 * glo + x * glo) = 2
2glo + glox + (-4glo + glox) = 2

Reorder the terms:
2glo + -4glo + glox + glox = 2

Combine like terms: 2glo + -4glo = -2glo
-2glo + glox + glox = 2

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

Solving
-2glo + 2glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -2glo + 2glox = 2 + -2

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1glo + glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -1glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -1glo + glox = 0

Solving
-1 + -1glo + glox = 0

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

Add '1' to each side of the equation.
-1 + -1glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + -1glo + glox = 0 + 1

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

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

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.