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Simplifying log(x + -21) = l + -1logx Reorder the terms: glo(-21 + x) = l + -1logx (-21 * glo + x * glo) = l + -1logx (-21glo + glox) = l + -1logx Reorder the terms: -21glo + glox = -1glox + l Solving -21glo + glox = -1glox + l 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. -21glo + glox + glox = -1glox + glox + l Combine like terms: glox + glox = 2glox -21glo + 2glox = -1glox + glox + l Combine like terms: -1glox + glox = 0 -21glo + 2glox = 0 + l -21glo + 2glox = l Combine like terms: l + -1l = 0 -21glo + 2glox + -1l = 0 Factor out the Greatest Common Factor (GCF), 'l'. l(-21go + 2gox + -1) = 0Subproblem 1
Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing g to the left, all other terms to the right. Add '-1l' to each side of the equation. l + -1l = 0 + -1l Remove the zero: 0 = -1l Simplifying 0 = -1l 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 '(-21go + 2gox + -1)' equal to zero and attempt to solve: Simplifying -21go + 2gox + -1 = 0 Reorder the terms: -1 + -21go + 2gox = 0 Solving -1 + -21go + 2gox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -21go + 1 + 2gox = 0 + 1 Reorder the terms: -1 + 1 + -21go + 2gox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -21go + 2gox = 0 + 1 -21go + 2gox = 0 + 1 Combine like terms: 0 + 1 = 1 -21go + 2gox = 1 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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