-log(13-3x)+2log(x-3)=0

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Solution for -log(13-3x)+2log(x-3)=0 equation: 


Simplifying
-1log(13 + -3x) + 2log(x + -3) = 0
(13 * -1glo + -3x * -1glo) + 2log(x + -3) = 0
(-13glo + 3glox) + 2log(x + -3) = 0

Reorder the terms:
-13glo + 3glox + 2glo(-3 + x) = 0
-13glo + 3glox + (-3 * 2glo + x * 2glo) = 0
-13glo + 3glox + (-6glo + 2glox) = 0

Reorder the terms:
-13glo + -6glo + 3glox + 2glox = 0

Combine like terms: -13glo + -6glo = -19glo
-19glo + 3glox + 2glox = 0

Combine like terms: 3glox + 2glox = 5glox
-19glo + 5glox = 0

Solving
-19glo + 5glox = 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(-19 + 5x) = 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 '(-19 + 5x)' equal to zero and attempt to solve:

Simplifying
-19 + 5x = 0

Solving
-19 + 5x = 0

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

Add '19' to each side of the equation.
-19 + 19 + 5x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = 0 + 19
5x = 0 + 19

Combine like terms: 0 + 19 = 19
5x = 19

Add '-5x' to each side of the equation.
5x + -5x = 19 + -5x

Combine like terms: 5x + -5x = 0
0 = 19 + -5x

Simplifying
0 = 19 + -5x

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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