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Simplifying 2 + 5log(3x + -2) = 12 Reorder the terms: 2 + 5glo(-2 + 3x) = 12 2 + (-2 * 5glo + 3x * 5glo) = 12 2 + (-10glo + 15glox) = 12 Solving 2 + -10glo + 15glox = 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 + 15glox = 12 + -2 Reorder the terms: 2 + -2 + -10glo + 15glox = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10glo + 15glox = 12 + -2 -10glo + 15glox = 12 + -2 Combine like terms: 12 + -2 = 10 -10glo + 15glox = 10 Reorder the terms: -10 + -10glo + 15glox = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -10glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + -2glo + 3glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -2glo + 3glox)' equal to zero and attempt to solve: Simplifying -2 + -2glo + 3glox = 0 Solving -2 + -2glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -2glo + 2 + 3glox = 0 + 2 Reorder the terms: -2 + 2 + -2glo + 3glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2glo + 3glox = 0 + 2 -2glo + 3glox = 0 + 2 Combine like terms: 0 + 2 = 2 -2glo + 3glox = 2 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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