Log(2)(4x+2)-log(2)(x-1)=4

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Solution for Log(2)(4x+2)-log(2)(x-1)=4 equation: 


Simplifying
Log(2)(4x + 2) + -1log(2)(x + -1) = 4

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

Reorder the terms for easier multiplication:
2goL(2 + 4x) + -1log(2)(x + -1) = 4
(2 * 2goL + 4x * 2goL) + -1log(2)(x + -1) = 4
(4goL + 8goxL) + -1log(2)(x + -1) = 4

Reorder the terms:
4goL + 8goxL + -1glo * 2(-1 + x) = 4

Reorder the terms for easier multiplication:
4goL + 8goxL + -1 * 2glo(-1 + x) = 4

Multiply -1 * 2
4goL + 8goxL + -2glo(-1 + x) = 4
4goL + 8goxL + (-1 * -2glo + x * -2glo) = 4
4goL + 8goxL + (2glo + -2glox) = 4

Reorder the terms:
2glo + -2glox + 4goL + 8goxL = 4

Solving
2glo + -2glox + 4goL + 8goxL = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 2glo + -2glox + 4goL + 8goxL = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 2glo + -2glox + 4goL + 8goxL = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + glo + -1glox + 2goL + 4goxL)' equal to zero and attempt to solve:

Simplifying
-2 + glo + -1glox + 2goL + 4goxL = 0

Solving
-2 + glo + -1glox + 2goL + 4goxL = 0

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

Add '2' to each side of the equation.
-2 + glo + -1glox + 2goL + 2 + 4goxL = 0 + 2

Reorder the terms:
-2 + 2 + glo + -1glox + 2goL + 4goxL = 0 + 2

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

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

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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