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Simplifying log(5n + -8) = log(4n + 5) Reorder the terms: glo(-8 + 5n) = log(4n + 5) (-8 * glo + 5n * glo) = log(4n + 5) Reorder the terms: (5glno + -8glo) = log(4n + 5) (5glno + -8glo) = log(4n + 5) Reorder the terms: 5glno + -8glo = glo(5 + 4n) 5glno + -8glo = (5 * glo + 4n * glo) Reorder the terms: 5glno + -8glo = (4glno + 5glo) 5glno + -8glo = (4glno + 5glo) Solving 5glno + -8glo = 4glno + 5glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glno' to each side of the equation. 5glno + -4glno + -8glo = 4glno + -4glno + 5glo Combine like terms: 5glno + -4glno = 1glno 1glno + -8glo = 4glno + -4glno + 5glo Combine like terms: 4glno + -4glno = 0 1glno + -8glo = 0 + 5glo 1glno + -8glo = 5glo Add '-5glo' to each side of the equation. 1glno + -8glo + -5glo = 5glo + -5glo Combine like terms: -8glo + -5glo = -13glo 1glno + -13glo = 5glo + -5glo Combine like terms: 5glo + -5glo = 0 1glno + -13glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(n + -13) = 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 '(n + -13)' equal to zero and attempt to solve: Simplifying n + -13 = 0 Reorder the terms: -13 + n = 0 Solving -13 + n = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + n = 0 + 13 n = 0 + 13 Combine like terms: 0 + 13 = 13 n = 13 Add '-1n' to each side of the equation. n + -1n = 13 + -1n Combine like terms: n + -1n = 0 0 = 13 + -1n Simplifying 0 = 13 + -1n 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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