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

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


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

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

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

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

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

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

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

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

Solving for variable 'g'.

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

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

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + glo + -1glox + goL + goxL)' equal to zero and attempt to solve: Simplifying -1 + glo + -1glox + goL + goxL = 0 Solving -1 + glo + -1glox + goL + goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + glo + -1glox + goL + 1 + goxL = 0 + 1 Reorder the terms: -1 + 1 + glo + -1glox + goL + goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + glo + -1glox + goL + goxL = 0 + 1 glo + -1glox + goL + goxL = 0 + 1 Combine like terms: 0 + 1 = 1 glo + -1glox + goL + goxL = 1 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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