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Simplifying logX = log(3x + -2) Reorder the terms: gloX = glo(-2 + 3x) gloX = (-2 * glo + 3x * glo) gloX = (-2glo + 3glox) Solving gloX = -2glo + 3glox 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 + gloX = -2glo + 2glo + 3glox Combine like terms: -2glo + 2glo = 0 2glo + gloX = 0 + 3glox 2glo + gloX = 3glox Add '-3glox' to each side of the equation. 2glo + gloX + -3glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 2glo + gloX + -3glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(2 + X + -3x) = 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 '(2 + X + -3x)' equal to zero and attempt to solve: Simplifying 2 + X + -3x = 0 Solving 2 + X + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + X + -2 + -3x = 0 + -2 Reorder the terms: 2 + -2 + X + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X + -3x = 0 + -2 X + -3x = 0 + -2 Combine like terms: 0 + -2 = -2 X + -3x = -2 Add '-1X' to each side of the equation. X + -1X + -3x = -2 + -1X Combine like terms: X + -1X = 0 0 + -3x = -2 + -1X -3x = -2 + -1X Add '3x' to each side of the equation. -3x + 3x = -2 + -1X + 3x Combine like terms: -3x + 3x = 0 0 = -2 + -1X + 3x Simplifying 0 = -2 + -1X + 3x 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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