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Simplifying 2log(3n + 4) + 5 = 9 Reorder the terms: 2glo(4 + 3n) + 5 = 9 (4 * 2glo + 3n * 2glo) + 5 = 9 Reorder the terms: (6glno + 8glo) + 5 = 9 (6glno + 8glo) + 5 = 9 Reorder the terms: 5 + 6glno + 8glo = 9 Solving 5 + 6glno + 8glo = 9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6glno + -5 + 8glo = 9 + -5 Reorder the terms: 5 + -5 + 6glno + 8glo = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 6glno + 8glo = 9 + -5 6glno + 8glo = 9 + -5 Combine like terms: 9 + -5 = 4 6glno + 8glo = 4 Reorder the terms: -4 + 6glno + 8glo = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 6glno + 8glo = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3glno + 4glo) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 3glno + 4glo)' equal to zero and attempt to solve: Simplifying -2 + 3glno + 4glo = 0 Solving -2 + 3glno + 4glo = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3glno + 2 + 4glo = 0 + 2 Reorder the terms: -2 + 2 + 3glno + 4glo = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3glno + 4glo = 0 + 2 3glno + 4glo = 0 + 2 Combine like terms: 0 + 2 = 2 3glno + 4glo = 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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