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Simplifying 6log(2x + 12) = 12 Reorder the terms: 6glo(12 + 2x) = 12 (12 * 6glo + 2x * 6glo) = 12 (72glo + 12glox) = 12 Solving 72glo + 12glox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + 72glo + 12glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 72glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-1 + 6glo + glox) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-1 + 6glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 6glo + glox = 0 Solving -1 + 6glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 6glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6glo + glox = 0 + 1 6glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 6glo + glox = 1 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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