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Simplifying 4log(3x + -2) = 20 Reorder the terms: 4glo(-2 + 3x) = 20 (-2 * 4glo + 3x * 4glo) = 20 (-8glo + 12glox) = 20 Solving -8glo + 12glox = 20 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -20 + -8glo + 12glox = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -8glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -2glo + 3glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -2glo + 3glox)' equal to zero and attempt to solve: Simplifying -5 + -2glo + 3glox = 0 Solving -5 + -2glo + 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 + -2glo + 5 + 3glox = 0 + 5 Reorder the terms: -5 + 5 + -2glo + 3glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2glo + 3glox = 0 + 5 -2glo + 3glox = 0 + 5 Combine like terms: 0 + 5 = 5 -2glo + 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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