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

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


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

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

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

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

Combine like terms: -3glo + -2glo = -5glo
-5glo + 3glox + -1glox = 0

Combine like terms: 3glox + -1glox = 2glox
-5glo + 2glox = 0

Solving
-5glo + 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(-5 + 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 '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Add '-2x' to each side of the equation.
2x + -2x = 5 + -2x

Combine like terms: 2x + -2x = 0
0 = 5 + -2x

Simplifying
0 = 5 + -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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