log(12x+2)=log(2x-1)

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Solution for log(12x+2)=log(2x-1) equation: 


Simplifying
log(12x + 2) = log(2x + -1)

Reorder the terms:
glo(2 + 12x) = log(2x + -1)
(2 * glo + 12x * glo) = log(2x + -1)
(2glo + 12glox) = log(2x + -1)

Reorder the terms:
2glo + 12glox = glo(-1 + 2x)
2glo + 12glox = (-1 * glo + 2x * glo)
2glo + 12glox = (-1glo + 2glox)

Solving
2glo + 12glox = -1glo + 2glox

Solving for variable 'g'.

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

Add 'glo' to each side of the equation.
2glo + glo + 12glox = -1glo + glo + 2glox

Combine like terms: 2glo + glo = 3glo
3glo + 12glox = -1glo + glo + 2glox

Combine like terms: -1glo + glo = 0
3glo + 12glox = 0 + 2glox
3glo + 12glox = 2glox

Add '-2glox' to each side of the equation.
3glo + 12glox + -2glox = 2glox + -2glox

Combine like terms: 12glox + -2glox = 10glox
3glo + 10glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
3glo + 10glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(3 + 10x) = 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 '(3 + 10x)' equal to zero and attempt to solve:

Simplifying
3 + 10x = 0

Solving
3 + 10x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 0 + -3
10x = 0 + -3

Combine like terms: 0 + -3 = -3
10x = -3

Add '-10x' to each side of the equation.
10x + -10x = -3 + -10x

Combine like terms: 10x + -10x = 0
0 = -3 + -10x

Simplifying
0 = -3 + -10x

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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