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Simplifying log(x + -9) = -1log(x + 1) Reorder the terms: glo(-9 + x) = -1log(x + 1) (-9 * glo + x * glo) = -1log(x + 1) (-9glo + glox) = -1log(x + 1) Reorder the terms: -9glo + glox = -1glo(1 + x) -9glo + glox = (1 * -1glo + x * -1glo) -9glo + glox = (-1glo + -1glox) Solving -9glo + glox = -1glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. -9glo + glo + glox = -1glo + glo + -1glox Combine like terms: -9glo + glo = -8glo -8glo + glox = -1glo + glo + -1glox Combine like terms: -1glo + glo = 0 -8glo + glox = 0 + -1glox -8glo + glox = -1glox Add 'glox' to each side of the equation. -8glo + glox + glox = -1glox + glox Combine like terms: glox + glox = 2glox -8glo + 2glox = -1glox + glox Combine like terms: -1glox + glox = 0 -8glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-4 + 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 '(-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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