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Simplifying 8 = 2log(3x + 4) + -2 Reorder the terms: 8 = 2glo(4 + 3x) + -2 8 = (4 * 2glo + 3x * 2glo) + -2 8 = (8glo + 6glox) + -2 Reorder the terms: 8 = -2 + 8glo + 6glox Solving 8 = -2 + 8glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 8 + -8glo = -2 + 8glo + -8glo + 6glox Combine like terms: 8glo + -8glo = 0 8 + -8glo = -2 + 0 + 6glox 8 + -8glo = -2 + 6glox Add '-6glox' to each side of the equation. 8 + -8glo + -6glox = -2 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 8 + -8glo + -6glox = -2 + 0 8 + -8glo + -6glox = -2 Add '-8' to each side of the equation. 8 + -8glo + -8 + -6glox = -2 + -8 Reorder the terms: 8 + -8 + -8glo + -6glox = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -8glo + -6glox = -2 + -8 -8glo + -6glox = -2 + -8 Combine like terms: -2 + -8 = -10 -8glo + -6glox = -10 Reorder the terms: 10 + -8glo + -6glox = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -8glo + -6glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -4glo + -3glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -4glo + -3glox)' equal to zero and attempt to solve: Simplifying 5 + -4glo + -3glox = 0 Solving 5 + -4glo + -3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4glo + -5 + -3glox = 0 + -5 Reorder the terms: 5 + -5 + -4glo + -3glox = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4glo + -3glox = 0 + -5 -4glo + -3glox = 0 + -5 Combine like terms: 0 + -5 = -5 -4glo + -3glox = -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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