log(x+6)-log(x+2)=logx

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Solution for log(x+6)-log(x+2)=logx equation: 


Simplifying
log(x + 6) + -1log(x + 2) = logx

Reorder the terms:
glo(6 + x) + -1log(x + 2) = logx
(6 * glo + x * glo) + -1log(x + 2) = logx
(6glo + glox) + -1log(x + 2) = logx

Reorder the terms:
6glo + glox + -1glo(2 + x) = logx
6glo + glox + (2 * -1glo + x * -1glo) = logx
6glo + glox + (-2glo + -1glox) = logx

Reorder the terms:
6glo + -2glo + glox + -1glox = logx

Combine like terms: 6glo + -2glo = 4glo
4glo + glox + -1glox = logx

Combine like terms: glox + -1glox = 0
4glo + 0 = logx
4glo = logx

Solving
4glo = glox

Solving for variable 'g'.

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

Add '-1glox' to each side of the equation.
4glo + -1glox = glox + -1glox

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Add 'x' to each side of the equation.
-1x + x = -4 + x

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + x

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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