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Simplifying 3log(2x + 2) = 12 Reorder the terms: 3glo(2 + 2x) = 12 (2 * 3glo + 2x * 3glo) = 12 (6glo + 6glox) = 12 Solving 6glo + 6glox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + 6glo + 6glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 6glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + glo + glox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + glo + glox)' equal to zero and attempt to solve: Simplifying -2 + glo + glox = 0 Solving -2 + glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + glo + 2 + glox = 0 + 2 Reorder the terms: -2 + 2 + glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + glo + glox = 0 + 2 glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 glo + glox = 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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