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Simplifying -6log3(x + 3) = -12 Reorder the terms: -6g3lo(3 + x) = -12 (3 * -6g3lo + x * -6g3lo) = -12 (-18g3lo + -6g3lox) = -12 Solving -18g3lo + -6g3lox = -12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 12 + -18g3lo + -6g3lox = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -18g3lo + -6g3lox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2 + -3g3lo + -1g3lox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + -3g3lo + -1g3lox)' equal to zero and attempt to solve: Simplifying 2 + -3g3lo + -1g3lox = 0 Solving 2 + -3g3lo + -1g3lox = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3g3lo + -2 + -1g3lox = 0 + -2 Reorder the terms: 2 + -2 + -3g3lo + -1g3lox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3g3lo + -1g3lox = 0 + -2 -3g3lo + -1g3lox = 0 + -2 Combine like terms: 0 + -2 = -2 -3g3lo + -1g3lox = -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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