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Simplifying Logx + log(x + -2) = log(x + 4) Reorder the terms: goxL + glo(-2 + x) = log(x + 4) goxL + (-2 * glo + x * glo) = log(x + 4) goxL + (-2glo + glox) = log(x + 4) Reorder the terms: -2glo + glox + goxL = log(x + 4) Reorder the terms: -2glo + glox + goxL = glo(4 + x) -2glo + glox + goxL = (4 * glo + x * glo) -2glo + glox + goxL = (4glo + glox) Add '-1glox' to each side of the equation. -2glo + glox + -1glox + goxL = 4glo + glox + -1glox Combine like terms: glox + -1glox = 0 -2glo + 0 + goxL = 4glo + glox + -1glox -2glo + goxL = 4glo + glox + -1glox Combine like terms: glox + -1glox = 0 -2glo + goxL = 4glo + 0 -2glo + goxL = 4glo Solving -2glo + goxL = 4glo 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. -2glo + -4glo + goxL = 4glo + -4glo Combine like terms: -2glo + -4glo = -6glo -6glo + goxL = 4glo + -4glo Combine like terms: 4glo + -4glo = 0 -6glo + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-6l + 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 '(-6l + xL)' equal to zero and attempt to solve: Simplifying -6l + xL = 0 Solving -6l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '6l' to each side of the equation. -6l + 6l + xL = 0 + 6l Combine like terms: -6l + 6l = 0 0 + xL = 0 + 6l xL = 0 + 6l Remove the zero: xL = 6l Add '-1xL' to each side of the equation. xL + -1xL = 6l + -1xL Combine like terms: xL + -1xL = 0 0 = 6l + -1xL Simplifying 0 = 6l + -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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