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Simplifying 2log(4n + 8) + 5 = 9 Reorder the terms: 2glo(8 + 4n) + 5 = 9 (8 * 2glo + 4n * 2glo) + 5 = 9 Reorder the terms: (8glno + 16glo) + 5 = 9 (8glno + 16glo) + 5 = 9 Reorder the terms: 5 + 8glno + 16glo = 9 Solving 5 + 8glno + 16glo = 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 + 8glno + -5 + 16glo = 9 + -5 Reorder the terms: 5 + -5 + 8glno + 16glo = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 8glno + 16glo = 9 + -5 8glno + 16glo = 9 + -5 Combine like terms: 9 + -5 = 4 8glno + 16glo = 4 Reorder the terms: -4 + 8glno + 16glo = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 8glno + 16glo = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 2glno + 4glo) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + 2glno + 4glo)' equal to zero and attempt to solve: Simplifying -1 + 2glno + 4glo = 0 Solving -1 + 2glno + 4glo = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2glno + 1 + 4glo = 0 + 1 Reorder the terms: -1 + 1 + 2glno + 4glo = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2glno + 4glo = 0 + 1 2glno + 4glo = 0 + 1 Combine like terms: 0 + 1 = 1 2glno + 4glo = 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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