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Simplifying 2logx = log(6x + -2) Reorder the terms: 2glox = glo(-2 + 6x) 2glox = (-2 * glo + 6x * glo) 2glox = (-2glo + 6glox) Solving 2glox = -2glo + 6glox 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. 2glo + 2glox = -2glo + 2glo + 6glox Combine like terms: -2glo + 2glo = 0 2glo + 2glox = 0 + 6glox 2glo + 2glox = 6glox Add '-6glox' to each side of the equation. 2glo + 2glox + -6glox = 6glox + -6glox Combine like terms: 2glox + -6glox = -4glox 2glo + -4glox = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 2glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(1 + -2x) = 0 Ignore the factor 2.Subproblem 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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Add '2x' to each side of the equation. -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 0 = -1 + 2x Simplifying 0 = -1 + 2x 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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