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