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

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

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

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

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

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

Combine like terms: -1glo + -3glo = -4glo
-4glo + 3glox + -1glox = 2

Combine like terms: 3glox + -1glox = 2glox
-4glo + 2glox = 2

Solving
-4glo + 2glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -4glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -4glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -2glo + glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -2glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -2glo + glox = 0

Solving
-1 + -2glo + glox = 0

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

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

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

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

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

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.