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Simplifying lny = 4ln(2 + -1x) lny = (2 * 4ln + -1x * 4ln) lny = (8ln + -4lnx) Solving lny = 8ln + -4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8ln' to each side of the equation. -8ln + lny = 8ln + -8ln + -4lnx Combine like terms: 8ln + -8ln = 0 -8ln + lny = 0 + -4lnx -8ln + lny = -4lnx Add '4lnx' to each side of the equation. -8ln + 4lnx + lny = -4lnx + 4lnx Combine like terms: -4lnx + 4lnx = 0 -8ln + 4lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-8 + 4x + y) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(-8 + 4x + y)' equal to zero and attempt to solve: Simplifying -8 + 4x + y = 0 Solving -8 + 4x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4x + 8 + y = 0 + 8 Reorder the terms: -8 + 8 + 4x + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x + y = 0 + 8 4x + y = 0 + 8 Combine like terms: 0 + 8 = 8 4x + y = 8 Add '-4x' to each side of the equation. 4x + -4x + y = 8 + -4x Combine like terms: 4x + -4x = 0 0 + y = 8 + -4x y = 8 + -4x Add '-1y' to each side of the equation. y + -1y = 8 + -4x + -1y Combine like terms: y + -1y = 0 0 = 8 + -4x + -1y Simplifying 0 = 8 + -4x + -1y 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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