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Simplifying log(3x + -1) + -2log(3x + 1) = 0 Reorder the terms: glo(-1 + 3x) + -2log(3x + 1) = 0 (-1 * glo + 3x * glo) + -2log(3x + 1) = 0 (-1glo + 3glox) + -2log(3x + 1) = 0 Reorder the terms: -1glo + 3glox + -2glo(1 + 3x) = 0 -1glo + 3glox + (1 * -2glo + 3x * -2glo) = 0 -1glo + 3glox + (-2glo + -6glox) = 0 Reorder the terms: -1glo + -2glo + 3glox + -6glox = 0 Combine like terms: -1glo + -2glo = -3glo -3glo + 3glox + -6glox = 0 Combine like terms: 3glox + -6glox = -3glox -3glo + -3glox = 0 Solving -3glo + -3glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-3glo'. -3glo(1 + x) = 0 Ignore the factor -3.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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -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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