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