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Simplifying log(x) = log(x2 + -12) Multiply glo * x glox = log(x2 + -12) Reorder the terms: glox = glo(-12 + x2) glox = (-12 * glo + x2 * glo) glox = (-12glo + glox2) Solving glox = -12glo + glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12glo' to each side of the equation. 12glo + glox = -12glo + 12glo + glox2 Combine like terms: -12glo + 12glo = 0 12glo + glox = 0 + glox2 12glo + glox = glox2 Add '-1glox2' to each side of the equation. 12glo + glox + -1glox2 = glox2 + -1glox2 Combine like terms: glox2 + -1glox2 = 0 12glo + glox + -1glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(12 + x + -1x2) = 0 Factor a trinomial. glo((4 + -1x)(3 + x)) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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