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

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


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

Multiply glo * x
glox + -1log(3x + -1) = 0

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

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

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

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

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

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

Simplifying
0 = -1 + 2x

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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