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