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

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


Simplifying
2log * x = log * 2 + log(3x + -4)

Multiply glo * x
2glox = log * 2 + log(3x + -4)

Reorder the terms for easier multiplication:
2glox = 2glo + log(3x + -4)

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

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

Solving
2glox = -2glo + 3glox

Solving for variable 'g'.

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

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

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

Simplifying
0 = -2 + 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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