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Simplifying log(-5n + -4) = log(4n + 9) Reorder the terms: glo(-4 + -5n) = log(4n + 9) (-4 * glo + -5n * glo) = log(4n + 9) Reorder the terms: (-5glno + -4glo) = log(4n + 9) (-5glno + -4glo) = log(4n + 9) Reorder the terms: -5glno + -4glo = glo(9 + 4n) -5glno + -4glo = (9 * glo + 4n * glo) Reorder the terms: -5glno + -4glo = (4glno + 9glo) -5glno + -4glo = (4glno + 9glo) Solving -5glno + -4glo = 4glno + 9glo 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 + -4glo = 4glno + -4glno + 9glo Combine like terms: -5glno + -4glno = -9glno -9glno + -4glo = 4glno + -4glno + 9glo Combine like terms: 4glno + -4glno = 0 -9glno + -4glo = 0 + 9glo -9glno + -4glo = 9glo Add '-9glo' to each side of the equation. -9glno + -4glo + -9glo = 9glo + -9glo Combine like terms: -4glo + -9glo = -13glo -9glno + -13glo = 9glo + -9glo Combine like terms: 9glo + -9glo = 0 -9glno + -13glo = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(9n + 13) = 0 Ignore the factor -1.Subproblem 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 '(9n + 13)' equal to zero and attempt to solve: Simplifying 9n + 13 = 0 Reorder the terms: 13 + 9n = 0 Solving 13 + 9n = 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 + 9n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 9n = 0 + -13 9n = 0 + -13 Combine like terms: 0 + -13 = -13 9n = -13 Add '-9n' to each side of the equation. 9n + -9n = -13 + -9n Combine like terms: 9n + -9n = 0 0 = -13 + -9n Simplifying 0 = -13 + -9n 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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