log(3x-2)+logX=0

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


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

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

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

Solving
-2glo + gloX + 3glox = 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(-2 + X + 3x) = 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 '(-2 + X + 3x)' equal to zero and attempt to solve:

Simplifying
-2 + X + 3x = 0

Solving
-2 + X + 3x = 0

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

Add '2' to each side of the equation.
-2 + X + 2 + 3x = 0 + 2

Reorder the terms:
-2 + 2 + X + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X + 3x = 0 + 2
X + 3x = 0 + 2

Combine like terms: 0 + 2 = 2
X + 3x = 2

Add '-1X' to each side of the equation.
X + -1X + 3x = 2 + -1X

Combine like terms: X + -1X = 0
0 + 3x = 2 + -1X
3x = 2 + -1X

Add '-3x' to each side of the equation.
3x + -3x = 2 + -1X + -3x

Combine like terms: 3x + -3x = 0
0 = 2 + -1X + -3x

Simplifying
0 = 2 + -1X + -3x

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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