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Simplifying Log(x2 + -2x) + -1log(-1x) = 2logx Reorder the terms: goL(-2x + x2) + -1log(-1x) = 2logx (-2x * goL + x2 * goL) + -1log(-1x) = 2logx (-2goxL + gox2L) + -1log(-1x) = 2logx Remove parenthesis around (-1x) -2goxL + gox2L + -1glo * -1x = 2logx Reorder the terms for easier multiplication: -2goxL + gox2L + -1 * -1glo * x = 2logx Multiply -1 * -1 -2goxL + gox2L + 1glo * x = 2logx Multiply glo * x -2goxL + gox2L + 1glox = 2logx Reorder the terms: 1glox + -2goxL + gox2L = 2logx Solving 1glox + -2goxL + gox2L = 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. 1glox + -2goxL + -2glox + gox2L = 2glox + -2glox Reorder the terms: 1glox + -2glox + -2goxL + gox2L = 2glox + -2glox Combine like terms: 1glox + -2glox = -1glox -1glox + -2goxL + gox2L = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -1glox + -2goxL + gox2L = 0 Factor out the Greatest Common Factor (GCF), 'gox'. gox(-1l + -2L + xL) = 0Subproblem 1
Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 '(-1l + -2L + xL)' equal to zero and attempt to solve: Simplifying -1l + -2L + xL = 0 Reorder the terms: -2L + -1l + xL = 0 Solving -2L + -1l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '2L' to each side of the equation. -2L + -1l + 2L + xL = 0 + 2L Reorder the terms: -2L + 2L + -1l + xL = 0 + 2L Combine like terms: -2L + 2L = 0 0 + -1l + xL = 0 + 2L -1l + xL = 0 + 2L Remove the zero: -1l + xL = 2L Add 'l' to each side of the equation. -1l + l + xL = 2L + l Combine like terms: -1l + l = 0 0 + xL = 2L + l xL = 2L + l Add '-1xL' to each side of the equation. xL + -1xL = 2L + l + -1xL Combine like terms: xL + -1xL = 0 0 = 2L + l + -1xL Simplifying 0 = 2L + l + -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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