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Simplifying 3log(x + -6) + 3 = 12 Reorder the terms: 3glo(-6 + x) + 3 = 12 (-6 * 3glo + x * 3glo) + 3 = 12 (-18glo + 3glox) + 3 = 12 Reorder the terms: 3 + -18glo + 3glox = 12 Solving 3 + -18glo + 3glox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -18glo + -3 + 3glox = 12 + -3 Reorder the terms: 3 + -3 + -18glo + 3glox = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -18glo + 3glox = 12 + -3 -18glo + 3glox = 12 + -3 Combine like terms: 12 + -3 = 9 -18glo + 3glox = 9 Reorder the terms: -9 + -18glo + 3glox = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -18glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -6glo + glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -6glo + glox)' equal to zero and attempt to solve: Simplifying -3 + -6glo + glox = 0 Solving -3 + -6glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -6glo + 3 + glox = 0 + 3 Reorder the terms: -3 + 3 + -6glo + glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6glo + glox = 0 + 3 -6glo + glox = 0 + 3 Combine like terms: 0 + 3 = 3 -6glo + glox = 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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