log(x+1)+log(x+3)=0

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Solution for log(x+1)+log(x+3)=0 equation: 


Simplifying
log(x + 1) + log(x + 3) = 0

Reorder the terms:
glo(1 + x) + log(x + 3) = 0
(1 * glo + x * glo) + log(x + 3) = 0
(1glo + glox) + log(x + 3) = 0

Reorder the terms:
1glo + glox + glo(3 + x) = 0
1glo + glox + (3 * glo + x * glo) = 0
1glo + glox + (3glo + glox) = 0

Reorder the terms:
1glo + 3glo + glox + glox = 0

Combine like terms: 1glo + 3glo = 4glo
4glo + glox + glox = 0

Combine like terms: glox + glox = 2glox
4glo + 2glox = 0

Solving
4glo + 2glox = 0

Solving for variable 'g'.

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

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

Ignore the factor 2.

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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

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

Combine like terms: x + -1x = 0
0 = -2 + -1x

Simplifying
0 = -2 + -1x

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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