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Simplifying 2ln(x + -1) + 30 = 34 Reorder the terms: 2ln(-1 + x) + 30 = 34 (-1 * 2ln + x * 2ln) + 30 = 34 (-2ln + 2lnx) + 30 = 34 Reorder the terms: 30 + -2ln + 2lnx = 34 Solving 30 + -2ln + 2lnx = 34 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -2ln + -30 + 2lnx = 34 + -30 Reorder the terms: 30 + -30 + -2ln + 2lnx = 34 + -30 Combine like terms: 30 + -30 = 0 0 + -2ln + 2lnx = 34 + -30 -2ln + 2lnx = 34 + -30 Combine like terms: 34 + -30 = 4 -2ln + 2lnx = 4 Reorder the terms: -4 + -2ln + 2lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -2ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -1ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + -1ln + lnx = 0 Solving -2 + -1ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + -1ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1ln + lnx = 0 + 2 -1ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -1ln + lnx = 2 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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