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Simplifying Log(x + -1) + log(x + 1) = 2log(2 + -1x) Reorder the terms: goL(-1 + x) + log(x + 1) = 2log(2 + -1x) (-1 * goL + x * goL) + log(x + 1) = 2log(2 + -1x) (-1goL + goxL) + log(x + 1) = 2log(2 + -1x) Reorder the terms: -1goL + goxL + glo(1 + x) = 2log(2 + -1x) -1goL + goxL + (1 * glo + x * glo) = 2log(2 + -1x) -1goL + goxL + (1glo + glox) = 2log(2 + -1x) Reorder the terms: 1glo + glox + -1goL + goxL = 2log(2 + -1x) 1glo + glox + -1goL + goxL = (2 * 2glo + -1x * 2glo) 1glo + glox + -1goL + goxL = (4glo + -2glox) Solving 1glo + glox + -1goL + goxL = 4glo + -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. 1glo + glox + -1goL + -4glo + goxL = 4glo + -4glo + -2glox Reorder the terms: 1glo + -4glo + glox + -1goL + goxL = 4glo + -4glo + -2glox Combine like terms: 1glo + -4glo = -3glo -3glo + glox + -1goL + goxL = 4glo + -4glo + -2glox Combine like terms: 4glo + -4glo = 0 -3glo + glox + -1goL + goxL = 0 + -2glox -3glo + glox + -1goL + goxL = -2glox Add '2glox' to each side of the equation. -3glo + glox + -1goL + 2glox + goxL = -2glox + 2glox Reorder the terms: -3glo + glox + 2glox + -1goL + goxL = -2glox + 2glox Combine like terms: glox + 2glox = 3glox -3glo + 3glox + -1goL + goxL = -2glox + 2glox Combine like terms: -2glox + 2glox = 0 -3glo + 3glox + -1goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-3l + 3lx + -1L + xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-3l + 3lx + -1L + xL)' equal to zero and attempt to solve: Simplifying -3l + 3lx + -1L + xL = 0 Reorder the terms: -1L + -3l + 3lx + xL = 0 Solving -1L + -3l + 3lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + -3l + 3lx + L + xL = 0 + L Reorder the terms: -1L + L + -3l + 3lx + xL = 0 + L Combine like terms: -1L + L = 0 0 + -3l + 3lx + xL = 0 + L -3l + 3lx + xL = 0 + L Remove the zero: -3l + 3lx + xL = L Add '3l' to each side of the equation. -3l + 3lx + 3l + xL = L + 3l Reorder the terms: -3l + 3l + 3lx + xL = L + 3l Combine like terms: -3l + 3l = 0 0 + 3lx + xL = L + 3l 3lx + xL = L + 3l Add '-3lx' to each side of the equation. 3lx + -3lx + xL = L + 3l + -3lx Combine like terms: 3lx + -3lx = 0 0 + xL = L + 3l + -3lx xL = L + 3l + -3lx Add '-1xL' to each side of the equation. xL + -1xL = L + 3l + -3lx + -1xL Combine like terms: xL + -1xL = 0 0 = L + 3l + -3lx + -1xL Simplifying 0 = L + 3l + -3lx + -1xL 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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