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Simplifying log(x + 5) = log(-1x + -3) Reorder the terms: glo(5 + x) = log(-1x + -3) (5 * glo + x * glo) = log(-1x + -3) (5glo + glox) = log(-1x + -3) Reorder the terms: 5glo + glox = glo(-3 + -1x) 5glo + glox = (-3 * glo + -1x * glo) 5glo + glox = (-3glo + -1glox) Solving 5glo + 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. 5glo + 3glo + glox = -3glo + 3glo + -1glox Combine like terms: 5glo + 3glo = 8glo 8glo + glox = -3glo + 3glo + -1glox Combine like terms: -3glo + 3glo = 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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