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Simplifying log(x + 2) = log(-1x + -11) + -1log(x + 3) Reorder the terms: glo(2 + x) = log(-1x + -11) + -1log(x + 3) (2 * glo + x * glo) = log(-1x + -11) + -1log(x + 3) (2glo + glox) = log(-1x + -11) + -1log(x + 3) Reorder the terms: 2glo + glox = glo(-11 + -1x) + -1log(x + 3) 2glo + glox = (-11 * glo + -1x * glo) + -1log(x + 3) 2glo + glox = (-11glo + -1glox) + -1log(x + 3) Reorder the terms: 2glo + glox = -11glo + -1glox + -1glo(3 + x) 2glo + glox = -11glo + -1glox + (3 * -1glo + x * -1glo) 2glo + glox = -11glo + -1glox + (-3glo + -1glox) Reorder the terms: 2glo + glox = -11glo + -3glo + -1glox + -1glox Combine like terms: -11glo + -3glo = -14glo 2glo + glox = -14glo + -1glox + -1glox Combine like terms: -1glox + -1glox = -2glox 2glo + glox = -14glo + -2glox Solving 2glo + glox = -14glo + -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '14glo' to each side of the equation. 2glo + 14glo + glox = -14glo + 14glo + -2glox Combine like terms: 2glo + 14glo = 16glo 16glo + glox = -14glo + 14glo + -2glox Combine like terms: -14glo + 14glo = 0 16glo + glox = 0 + -2glox 16glo + glox = -2glox Add '2glox' to each side of the equation. 16glo + glox + 2glox = -2glox + 2glox Combine like terms: glox + 2glox = 3glox 16glo + 3glox = -2glox + 2glox Combine like terms: -2glox + 2glox = 0 16glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(16 + 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 '(16 + 3x)' equal to zero and attempt to solve: Simplifying 16 + 3x = 0 Solving 16 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 0 + -16 3x = 0 + -16 Combine like terms: 0 + -16 = -16 3x = -16 Add '-3x' to each side of the equation. 3x + -3x = -16 + -3x Combine like terms: 3x + -3x = 0 0 = -16 + -3x Simplifying 0 = -16 + -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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