log(2x+4)-log(3x)=0

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Solution for log(2x+4)-log(3x)=0 equation: 


Simplifying
log(2x + 4) + -1log(3x) = 0

Reorder the terms:
glo(4 + 2x) + -1log(3x) = 0
(4 * glo + 2x * glo) + -1log(3x) = 0
(4glo + 2glox) + -1log(3x) = 0

Remove parenthesis around (3x)
4glo + 2glox + -1glo * 3x = 0

Reorder the terms for easier multiplication:
4glo + 2glox + -1 * 3glo * x = 0

Multiply -1 * 3
4glo + 2glox + -3glo * x = 0

Multiply glo * x
4glo + 2glox + -3glox = 0

Combine like terms: 2glox + -3glox = -1glox
4glo + -1glox = 0

Solving
4glo + -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(4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Add 'x' to each side of the equation.
-1x + x = -4 + x

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + 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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