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