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Simplifying Ln(11) = ln(x + -8) + ln(2) Reorder the terms for easier multiplication: 11nL = ln(x + -8) + ln(2) Reorder the terms: 11nL = ln(-8 + x) + ln(2) 11nL = (-8 * ln + x * ln) + ln(2) 11nL = (-8ln + lnx) + ln(2) Reorder the terms for easier multiplication: 11nL = -8ln + lnx + 2ln Reorder the terms: 11nL = -8ln + 2ln + lnx Combine like terms: -8ln + 2ln = -6ln 11nL = -6ln + lnx Solving 11nL = -6ln + lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6ln' to each side of the equation. 6ln + 11nL = -6ln + 6ln + lnx Combine like terms: -6ln + 6ln = 0 6ln + 11nL = 0 + lnx 6ln + 11nL = lnx Add '-1lnx' to each side of the equation. 6ln + -1lnx + 11nL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 6ln + -1lnx + 11nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(6l + -1lx + 11L) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(6l + -1lx + 11L)' equal to zero and attempt to solve: Simplifying 6l + -1lx + 11L = 0 Reorder the terms: 11L + 6l + -1lx = 0 Solving 11L + 6l + -1lx = 0 Move all terms containing n to the left, all other terms to the right. Add '-11L' to each side of the equation. 11L + 6l + -11L + -1lx = 0 + -11L Reorder the terms: 11L + -11L + 6l + -1lx = 0 + -11L Combine like terms: 11L + -11L = 0 0 + 6l + -1lx = 0 + -11L 6l + -1lx = 0 + -11L Remove the zero: 6l + -1lx = -11L Add '-6l' to each side of the equation. 6l + -6l + -1lx = -11L + -6l Combine like terms: 6l + -6l = 0 0 + -1lx = -11L + -6l -1lx = -11L + -6l Add 'lx' to each side of the equation. -1lx + lx = -11L + -6l + lx Combine like terms: -1lx + lx = 0 0 = -11L + -6l + lx Simplifying 0 = -11L + -6l + lx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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