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Simplifying Log(7)(3n + -8) = log(7)(4n) Reorder the terms: goL * 7(-8 + 3n) = log(7)(4n) Reorder the terms for easier multiplication: 7goL(-8 + 3n) = log(7)(4n) (-8 * 7goL + 3n * 7goL) = log(7)(4n) Reorder the terms: (21gnoL + -56goL) = log(7)(4n) (21gnoL + -56goL) = log(7)(4n) Remove parenthesis around (4n) 21gnoL + -56goL = glo * 7 * 4n Reorder the terms for easier multiplication: 21gnoL + -56goL = 7 * 4glo * n Multiply 7 * 4 21gnoL + -56goL = 28glo * n Multiply glo * n 21gnoL + -56goL = 28glno Solving 21gnoL + -56goL = 28glno Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glno' to each side of the equation. 21gnoL + -28glno + -56goL = 28glno + -28glno Reorder the terms: -28glno + 21gnoL + -56goL = 28glno + -28glno Combine like terms: 28glno + -28glno = 0 -28glno + 21gnoL + -56goL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-4ln + 3nL + -8L) = 0 Ignore the factor 7.Subproblem 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 '(-4ln + 3nL + -8L)' equal to zero and attempt to solve: Simplifying -4ln + 3nL + -8L = 0 Reorder the terms: -8L + -4ln + 3nL = 0 Solving -8L + -4ln + 3nL = 0 Move all terms containing g to the left, all other terms to the right. Add '8L' to each side of the equation. -8L + -4ln + 8L + 3nL = 0 + 8L Reorder the terms: -8L + 8L + -4ln + 3nL = 0 + 8L Combine like terms: -8L + 8L = 0 0 + -4ln + 3nL = 0 + 8L -4ln + 3nL = 0 + 8L Remove the zero: -4ln + 3nL = 8L Add '4ln' to each side of the equation. -4ln + 4ln + 3nL = 8L + 4ln Combine like terms: -4ln + 4ln = 0 0 + 3nL = 8L + 4ln 3nL = 8L + 4ln Add '-3nL' to each side of the equation. 3nL + -3nL = 8L + 4ln + -3nL Combine like terms: 3nL + -3nL = 0 0 = 8L + 4ln + -3nL Simplifying 0 = 8L + 4ln + -3nL 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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