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Simplifying log(12 + -11) = log(3x + 13) Combine like terms: 12 + -11 = 1 glo(1) = log(3x + 13) Reorder the terms for easier multiplication: 1glo = log(3x + 13) Reorder the terms: 1glo = glo(13 + 3x) 1glo = (13 * glo + 3x * glo) 1glo = (13glo + 3glox) Solving 1glo = 13glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. 1glo + -13glo = 13glo + -13glo + 3glox Combine like terms: 1glo + -13glo = -12glo -12glo = 13glo + -13glo + 3glox Combine like terms: 13glo + -13glo = 0 -12glo = 0 + 3glox -12glo = 3glox Add '-3glox' to each side of the equation. -12glo + -3glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -12glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), '-3glo'. -3glo(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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