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Simplifying 2ln(X + -5) + 4 = 12 Reorder the terms: 2ln(-5 + X) + 4 = 12 (-5 * 2ln + X * 2ln) + 4 = 12 (-10ln + 2lnX) + 4 = 12 Reorder the terms: 4 + -10ln + 2lnX = 12 Solving 4 + -10ln + 2lnX = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -10ln + -4 + 2lnX = 12 + -4 Reorder the terms: 4 + -4 + -10ln + 2lnX = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -10ln + 2lnX = 12 + -4 -10ln + 2lnX = 12 + -4 Combine like terms: 12 + -4 = 8 -10ln + 2lnX = 8 Reorder the terms: -8 + -10ln + 2lnX = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -10ln + 2lnX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -5ln + lnX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -5ln + lnX)' equal to zero and attempt to solve: Simplifying -4 + -5ln + lnX = 0 Solving -4 + -5ln + lnX = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5ln + 4 + lnX = 0 + 4 Reorder the terms: -4 + 4 + -5ln + lnX = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5ln + lnX = 0 + 4 -5ln + lnX = 0 + 4 Combine like terms: 0 + 4 = 4 -5ln + lnX = 4 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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