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