Log(3x+4)Log(2)=Log(2x-4)-Log(2)

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


Simplifying
Log(3x + 4) * Log(2) = Log(2x + -4) + -1Log(2)

Reorder the terms:
goL(4 + 3x) * Log(2) = Log(2x + -4) + -1Log(2)

Reorder the terms for easier multiplication:
2goL * goL(4 + 3x) = Log(2x + -4) + -1Log(2)

Multiply goL * goL
2g2o2L2(4 + 3x) = Log(2x + -4) + -1Log(2)
(4 * 2g2o2L2 + 3x * 2g2o2L2) = Log(2x + -4) + -1Log(2)
(8g2o2L2 + 6g2o2xL2) = Log(2x + -4) + -1Log(2)

Reorder the terms:
8g2o2L2 + 6g2o2xL2 = goL(-4 + 2x) + -1Log(2)
8g2o2L2 + 6g2o2xL2 = (-4 * goL + 2x * goL) + -1Log(2)
8g2o2L2 + 6g2o2xL2 = (-4goL + 2goxL) + -1Log(2)

Reorder the terms for easier multiplication:
8g2o2L2 + 6g2o2xL2 = -4goL + 2goxL + -1 * 2goL

Multiply -1 * 2
8g2o2L2 + 6g2o2xL2 = -4goL + 2goxL + -2goL

Reorder the terms:
8g2o2L2 + 6g2o2xL2 = -4goL + -2goL + 2goxL

Combine like terms: -4goL + -2goL = -6goL
8g2o2L2 + 6g2o2xL2 = -6goL + 2goxL

Solving
8g2o2L2 + 6g2o2xL2 = -6goL + 2goxL

Solving for variable 'g'.

Reorder the terms:
6goL + -2goxL + 8g2o2L2 + 6g2o2xL2 = -6goL + 2goxL + 6goL + -2goxL

Reorder the terms:
6goL + -2goxL + 8g2o2L2 + 6g2o2xL2 = -6goL + 6goL + 2goxL + -2goxL

Combine like terms: -6goL + 6goL = 0
6goL + -2goxL + 8g2o2L2 + 6g2o2xL2 = 0 + 2goxL + -2goxL
6goL + -2goxL + 8g2o2L2 + 6g2o2xL2 = 2goxL + -2goxL

Combine like terms: 2goxL + -2goxL = 0
6goL + -2goxL + 8g2o2L2 + 6g2o2xL2 = 0

Factor out the Greatest Common Factor (GCF), '2goL'.
2goL(3 + -1x + 4goL + 3goxL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve:

Simplifying
goL = 0

Solving
goL = 0

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

Simplifying
goL = 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 + -1x + 4goL + 3goxL)' equal to zero and attempt to solve:

Simplifying
3 + -1x + 4goL + 3goxL = 0

Reorder the terms:
3 + 4goL + 3goxL + -1x = 0

Solving
3 + 4goL + 3goxL + -1x = 0

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

Add '-3' to each side of the equation.
3 + 4goL + 3goxL + -3 + -1x = 0 + -3

Reorder the terms:
3 + -3 + 4goL + 3goxL + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4goL + 3goxL + -1x = 0 + -3
4goL + 3goxL + -1x = 0 + -3

Combine like terms: 0 + -3 = -3
4goL + 3goxL + -1x = -3

Add 'x' to each side of the equation.
4goL + 3goxL + -1x + x = -3 + x

Combine like terms: -1x + x = 0
4goL + 3goxL + 0 = -3 + x
4goL + 3goxL = -3 + 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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