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