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Simplifying log(3x + 4) = log(x + -2) Reorder the terms: glo(4 + 3x) = log(x + -2) (4 * glo + 3x * glo) = log(x + -2) (4glo + 3glox) = log(x + -2) Reorder the terms: 4glo + 3glox = glo(-2 + x) 4glo + 3glox = (-2 * glo + x * glo) 4glo + 3glox = (-2glo + glox) Solving 4glo + 3glox = -2glo + glox 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. 4glo + 2glo + 3glox = -2glo + 2glo + glox Combine like terms: 4glo + 2glo = 6glo 6glo + 3glox = -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 6glo + 3glox = 0 + glox 6glo + 3glox = glox Add '-1glox' to each side of the equation. 6glo + 3glox + -1glox = glox + -1glox Combine like terms: 3glox + -1glox = 2glox 6glo + 2glox = glox + -1glox Combine like terms: glox + -1glox = 0 6glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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