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Simplifying 2log(x + -5) + 2 = 12 Reorder the terms: 2glo(-5 + x) + 2 = 12 (-5 * 2glo + x * 2glo) + 2 = 12 (-10glo + 2glox) + 2 = 12 Reorder the terms: 2 + -10glo + 2glox = 12 Solving 2 + -10glo + 2glox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -10glo + -2 + 2glox = 12 + -2 Reorder the terms: 2 + -2 + -10glo + 2glox = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10glo + 2glox = 12 + -2 -10glo + 2glox = 12 + -2 Combine like terms: 12 + -2 = 10 -10glo + 2glox = 10 Reorder the terms: -10 + -10glo + 2glox = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -10glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -5glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -5glo + glox)' equal to zero and attempt to solve: Simplifying -5 + -5glo + glox = 0 Solving -5 + -5glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -5glo + 5 + glox = 0 + 5 Reorder the terms: -5 + 5 + -5glo + glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5glo + glox = 0 + 5 -5glo + glox = 0 + 5 Combine like terms: 0 + 5 = 5 -5glo + glox = 5 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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