log(2x+1)-log(3x-1)=0

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Solution for log(2x+1)-log(3x-1)=0 equation: 


Simplifying
log(2x + 1) + -1log(3x + -1) = 0

Reorder the terms:
glo(1 + 2x) + -1log(3x + -1) = 0
(1 * glo + 2x * glo) + -1log(3x + -1) = 0
(1glo + 2glox) + -1log(3x + -1) = 0

Reorder the terms:
1glo + 2glox + -1glo(-1 + 3x) = 0
1glo + 2glox + (-1 * -1glo + 3x * -1glo) = 0
1glo + 2glox + (1glo + -3glox) = 0

Reorder the terms:
1glo + 1glo + 2glox + -3glox = 0

Combine like terms: 1glo + 1glo = 2glo
2glo + 2glox + -3glox = 0

Combine like terms: 2glox + -3glox = -1glox
2glo + -1glox = 0

Solving
2glo + -1glox = 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(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

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

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

Simplifying
0 = -2 + 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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