log(x+3)-log(x+13)+log(x+1)=0

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Solution for log(x+3)-log(x+13)+log(x+1)=0 equation:


Simplifying
log(x + 3) + -1log(x + 13) + log(x + 1) = 0

Reorder the terms:
glo(3 + x) + -1log(x + 13) + log(x + 1) = 0
(3 * glo + x * glo) + -1log(x + 13) + log(x + 1) = 0
(3glo + glox) + -1log(x + 13) + log(x + 1) = 0

Reorder the terms:
3glo + glox + -1glo(13 + x) + log(x + 1) = 0
3glo + glox + (13 * -1glo + x * -1glo) + log(x + 1) = 0
3glo + glox + (-13glo + -1glox) + log(x + 1) = 0

Reorder the terms:
3glo + glox + -13glo + -1glox + glo(1 + x) = 0
3glo + glox + -13glo + -1glox + (1 * glo + x * glo) = 0
3glo + glox + -13glo + -1glox + (1glo + glox) = 0

Reorder the terms:
3glo + -13glo + 1glo + glox + -1glox + glox = 0

Combine like terms: 3glo + -13glo = -10glo
-10glo + 1glo + glox + -1glox + glox = 0

Combine like terms: -10glo + 1glo = -9glo
-9glo + glox + -1glox + glox = 0

Combine like terms: glox + -1glox = 0
-9glo + 0 + glox = 0
-9glo + glox = 0

Solving
-9glo + glox = 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), 'glo'.
glo(-9 + x) = 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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -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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