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Simplifying 9log(2x + 12) = 18 Reorder the terms: 9glo(12 + 2x) = 18 (12 * 9glo + 2x * 9glo) = 18 (108glo + 18glox) = 18 Solving 108glo + 18glox = 18 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -18 + 108glo + 18glox = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 108glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '18'. 18(-1 + 6glo + glox) = 0 Ignore the factor 18.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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