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Simplifying 2ln(x + -1) + 3 = 17 Reorder the terms: 2ln(-1 + x) + 3 = 17 (-1 * 2ln + x * 2ln) + 3 = 17 (-2ln + 2lnx) + 3 = 17 Reorder the terms: 3 + -2ln + 2lnx = 17 Solving 3 + -2ln + 2lnx = 17 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2ln + -3 + 2lnx = 17 + -3 Reorder the terms: 3 + -3 + -2ln + 2lnx = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -2ln + 2lnx = 17 + -3 -2ln + 2lnx = 17 + -3 Combine like terms: 17 + -3 = 14 -2ln + 2lnx = 14 Reorder the terms: -14 + -2ln + 2lnx = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -2ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -1ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -7 + -1ln + lnx = 0 Solving -7 + -1ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1ln + 7 + lnx = 0 + 7 Reorder the terms: -7 + 7 + -1ln + lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1ln + lnx = 0 + 7 -1ln + lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -1ln + lnx = 7 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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