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Simplifying 2log(x + 1) = log(x + 13) Reorder the terms: 2glo(1 + x) = log(x + 13) (1 * 2glo + x * 2glo) = log(x + 13) (2glo + 2glox) = log(x + 13) Reorder the terms: 2glo + 2glox = glo(13 + x) 2glo + 2glox = (13 * glo + x * glo) 2glo + 2glox = (13glo + glox) Solving 2glo + 2glox = 13glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. 2glo + -13glo + 2glox = 13glo + -13glo + glox Combine like terms: 2glo + -13glo = -11glo -11glo + 2glox = 13glo + -13glo + glox Combine like terms: 13glo + -13glo = 0 -11glo + 2glox = 0 + glox -11glo + 2glox = glox Add '-1glox' to each side of the equation. -11glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox -11glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -11glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-11 + 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 '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Add '-1x' to each side of the equation. x + -1x = 11 + -1x Combine like terms: x + -1x = 0 0 = 11 + -1x Simplifying 0 = 11 + -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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