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