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Simplifying 2log(x + 3) = log(4 + 12) Reorder the terms: 2glo(3 + x) = log(4 + 12) (3 * 2glo + x * 2glo) = log(4 + 12) (6glo + 2glox) = log(4 + 12) Combine like terms: 4 + 12 = 16 6glo + 2glox = glo(16) Reorder the terms for easier multiplication: 6glo + 2glox = 16glo Solving 6glo + 2glox = 16glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16glo' to each side of the equation. 6glo + -16glo + 2glox = 16glo + -16glo Combine like terms: 6glo + -16glo = -10glo -10glo + 2glox = 16glo + -16glo Combine like terms: 16glo + -16glo = 0 -10glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-5 + 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 '(-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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