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Simplifying log(3)(6x + -11) = 9 Reorder the terms: glo * 3(-11 + 6x) = 9 Reorder the terms for easier multiplication: 3glo(-11 + 6x) = 9 (-11 * 3glo + 6x * 3glo) = 9 (-33glo + 18glox) = 9 Solving -33glo + 18glox = 9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -9 + -33glo + 18glox = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -33glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -11glo + 6glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -11glo + 6glox)' equal to zero and attempt to solve: Simplifying -3 + -11glo + 6glox = 0 Solving -3 + -11glo + 6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -11glo + 3 + 6glox = 0 + 3 Reorder the terms: -3 + 3 + -11glo + 6glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -11glo + 6glox = 0 + 3 -11glo + 6glox = 0 + 3 Combine like terms: 0 + 3 = 3 -11glo + 6glox = 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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