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Simplifying Log(6 + -5n) = log(3n + 6) (6 * goL + -5n * goL) = log(3n + 6) Reorder the terms: (-5gnoL + 6goL) = log(3n + 6) (-5gnoL + 6goL) = log(3n + 6) Reorder the terms: -5gnoL + 6goL = glo(6 + 3n) -5gnoL + 6goL = (6 * glo + 3n * glo) Reorder the terms: -5gnoL + 6goL = (3glno + 6glo) -5gnoL + 6goL = (3glno + 6glo) Solving -5gnoL + 6goL = 3glno + 6glo 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. -5gnoL + -3glno + 6goL = 3glno + -3glno + 6glo Reorder the terms: -3glno + -5gnoL + 6goL = 3glno + -3glno + 6glo Combine like terms: 3glno + -3glno = 0 -3glno + -5gnoL + 6goL = 0 + 6glo -3glno + -5gnoL + 6goL = 6glo Add '-6glo' to each side of the equation. -3glno + -5gnoL + -6glo + 6goL = 6glo + -6glo Reorder the terms: -3glno + -6glo + -5gnoL + 6goL = 6glo + -6glo Combine like terms: 6glo + -6glo = 0 -3glno + -6glo + -5gnoL + 6goL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-3ln + -6l + -5nL + 6L) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-3ln + -6l + -5nL + 6L)' equal to zero and attempt to solve: Simplifying -3ln + -6l + -5nL + 6L = 0 Reorder the terms: 6L + -6l + -3ln + -5nL = 0 Solving 6L + -6l + -3ln + -5nL = 0 Move all terms containing g to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + -6l + -3ln + -6L + -5nL = 0 + -6L Reorder the terms: 6L + -6L + -6l + -3ln + -5nL = 0 + -6L Combine like terms: 6L + -6L = 0 0 + -6l + -3ln + -5nL = 0 + -6L -6l + -3ln + -5nL = 0 + -6L Remove the zero: -6l + -3ln + -5nL = -6L Add '6l' to each side of the equation. -6l + -3ln + 6l + -5nL = -6L + 6l Reorder the terms: -6l + 6l + -3ln + -5nL = -6L + 6l Combine like terms: -6l + 6l = 0 0 + -3ln + -5nL = -6L + 6l -3ln + -5nL = -6L + 6l Add '3ln' to each side of the equation. -3ln + 3ln + -5nL = -6L + 6l + 3ln Combine like terms: -3ln + 3ln = 0 0 + -5nL = -6L + 6l + 3ln -5nL = -6L + 6l + 3ln Add '5nL' to each side of the equation. -5nL + 5nL = -6L + 6l + 3ln + 5nL Combine like terms: -5nL + 5nL = 0 0 = -6L + 6l + 3ln + 5nL Simplifying 0 = -6L + 6l + 3ln + 5nL 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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