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Simplifying log(2n + 5) = log(3n + 3) Reorder the terms: glo(5 + 2n) = log(3n + 3) (5 * glo + 2n * glo) = log(3n + 3) Reorder the terms: (2glno + 5glo) = log(3n + 3) (2glno + 5glo) = log(3n + 3) Reorder the terms: 2glno + 5glo = glo(3 + 3n) 2glno + 5glo = (3 * glo + 3n * glo) Reorder the terms: 2glno + 5glo = (3glno + 3glo) 2glno + 5glo = (3glno + 3glo) Solving 2glno + 5glo = 3glno + 3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glno' to each side of the equation. 2glno + -3glno + 5glo = 3glno + -3glno + 3glo Combine like terms: 2glno + -3glno = -1glno -1glno + 5glo = 3glno + -3glno + 3glo Combine like terms: 3glno + -3glno = 0 -1glno + 5glo = 0 + 3glo -1glno + 5glo = 3glo Add '-3glo' to each side of the equation. -1glno + 5glo + -3glo = 3glo + -3glo Combine like terms: 5glo + -3glo = 2glo -1glno + 2glo = 3glo + -3glo Combine like terms: 3glo + -3glo = 0 -1glno + 2glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-1n + 2) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1n + 2)' equal to zero and attempt to solve: Simplifying -1n + 2 = 0 Reorder the terms: 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Add 'n' to each side of the equation. -1n + n = -2 + n Combine like terms: -1n + n = 0 0 = -2 + n Simplifying 0 = -2 + n 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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