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Simplifying 2log(x + 5) = log(x + 5) Reorder the terms: 2glo(5 + x) = log(x + 5) (5 * 2glo + x * 2glo) = log(x + 5) (10glo + 2glox) = log(x + 5) Reorder the terms: 10glo + 2glox = glo(5 + x) 10glo + 2glox = (5 * glo + x * glo) 10glo + 2glox = (5glo + glox) Solving 10glo + 2glox = 5glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. 10glo + -5glo + 2glox = 5glo + -5glo + glox Combine like terms: 10glo + -5glo = 5glo 5glo + 2glox = 5glo + -5glo + glox Combine like terms: 5glo + -5glo = 0 5glo + 2glox = 0 + glox 5glo + 2glox = glox Add '-1glox' to each side of the equation. 5glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox 5glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 5glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -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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