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