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Simplifying Log(base) * 16(2n + 7) = log(base) * 16(-1n) Reorder the terms: goL * abes * 16(7 + 2n) = log(base) * 16(-1n) Reorder the terms for easier multiplication: 16goL * abes(7 + 2n) = log(base) * 16(-1n) Multiply goL * abes 16abegosL(7 + 2n) = log(base) * 16(-1n) (7 * 16abegosL + 2n * 16abegosL) = log(base) * 16(-1n) Reorder the terms: (32abegnosL + 112abegosL) = log(base) * 16(-1n) (32abegnosL + 112abegosL) = log(base) * 16(-1n) Remove parenthesis around (-1n) 32abegnosL + 112abegosL = glo * abes * 16 * -1n Reorder the terms for easier multiplication: 32abegnosL + 112abegosL = 16 * -1glo * abes * n Multiply 16 * -1 32abegnosL + 112abegosL = -16glo * abes * n Multiply glo * abes 32abegnosL + 112abegosL = -16abeglos * n Multiply abeglos * n 32abegnosL + 112abegosL = -16abeglnos Solving 32abegnosL + 112abegosL = -16abeglnos Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16abeglnos' to each side of the equation. 32abegnosL + 16abeglnos + 112abegosL = -16abeglnos + 16abeglnos Reorder the terms: 16abeglnos + 32abegnosL + 112abegosL = -16abeglnos + 16abeglnos Combine like terms: -16abeglnos + 16abeglnos = 0 16abeglnos + 32abegnosL + 112abegosL = 0 Factor out the Greatest Common Factor (GCF), '16abegos'. 16abegos(ln + 2nL + 7L) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'abegos' equal to zero and attempt to solve: Simplifying abegos = 0 Solving abegos = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abegos = 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 '(ln + 2nL + 7L)' equal to zero and attempt to solve: Simplifying ln + 2nL + 7L = 0 Reorder the terms: 7L + ln + 2nL = 0 Solving 7L + ln + 2nL = 0 Move all terms containing a to the left, all other terms to the right. Add '-7L' to each side of the equation. 7L + ln + -7L + 2nL = 0 + -7L Reorder the terms: 7L + -7L + ln + 2nL = 0 + -7L Combine like terms: 7L + -7L = 0 0 + ln + 2nL = 0 + -7L ln + 2nL = 0 + -7L Remove the zero: ln + 2nL = -7L Add '-1ln' to each side of the equation. ln + -1ln + 2nL = -7L + -1ln Combine like terms: ln + -1ln = 0 0 + 2nL = -7L + -1ln 2nL = -7L + -1ln Add '-2nL' to each side of the equation. 2nL + -2nL = -7L + -1ln + -2nL Combine like terms: 2nL + -2nL = 0 0 = -7L + -1ln + -2nL Simplifying 0 = -7L + -1ln + -2nL 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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