log(x+5)-log(1-5x)=0

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Solution for log(x+5)-log(1-5x)=0 equation: 


Simplifying
log(x + 5) + -1log(1 + -5x) = 0

Reorder the terms:
glo(5 + x) + -1log(1 + -5x) = 0
(5 * glo + x * glo) + -1log(1 + -5x) = 0
(5glo + glox) + -1log(1 + -5x) = 0
5glo + glox + (1 * -1glo + -5x * -1glo) = 0
5glo + glox + (-1glo + 5glox) = 0

Reorder the terms:
5glo + -1glo + glox + 5glox = 0

Combine like terms: 5glo + -1glo = 4glo
4glo + glox + 5glox = 0

Combine like terms: glox + 5glox = 6glox
4glo + 6glox = 0

Solving
4glo + 6glox = 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 + 3x) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2 + -3x

Simplifying
0 = -2 + -3x

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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