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Simplifying 6log(3x + -1) = 18 Reorder the terms: 6glo(-1 + 3x) = 18 (-1 * 6glo + 3x * 6glo) = 18 (-6glo + 18glox) = 18 Solving -6glo + 18glox = 18 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -18 + -6glo + 18glox = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -6glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + -1glo + 3glox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + -1glo + 3glox)' equal to zero and attempt to solve: Simplifying -3 + -1glo + 3glox = 0 Solving -3 + -1glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1glo + 3 + 3glox = 0 + 3 Reorder the terms: -3 + 3 + -1glo + 3glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1glo + 3glox = 0 + 3 -1glo + 3glox = 0 + 3 Combine like terms: 0 + 3 = 3 -1glo + 3glox = 3 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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