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