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Simplifying log(12x + -9) = log(3x) Reorder the terms: glo(-9 + 12x) = log(3x) (-9 * glo + 12x * glo) = log(3x) (-9glo + 12glox) = log(3x) Remove parenthesis around (3x) -9glo + 12glox = glo * 3x Reorder the terms for easier multiplication: -9glo + 12glox = 3glo * x Multiply glo * x -9glo + 12glox = 3glox Solving -9glo + 12glox = 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glox' to each side of the equation. -9glo + 12glox + -3glox = 3glox + -3glox Combine like terms: 12glox + -3glox = 9glox -9glo + 9glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -9glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-1 + x) = 0 Ignore the factor 9.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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