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