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Simplifying 3ln(x + -1) + 3 = 9 Reorder the terms: 3ln(-1 + x) + 3 = 9 (-1 * 3ln + x * 3ln) + 3 = 9 (-3ln + 3lnx) + 3 = 9 Reorder the terms: 3 + -3ln + 3lnx = 9 Solving 3 + -3ln + 3lnx = 9 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 + -3ln + -3 + 3lnx = 9 + -3 Reorder the terms: 3 + -3 + -3ln + 3lnx = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -3ln + 3lnx = 9 + -3 -3ln + 3lnx = 9 + -3 Combine like terms: 9 + -3 = 6 -3ln + 3lnx = 6 Reorder the terms: -6 + -3ln + 3lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -3ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -1ln + lnx) = 0 Ignore the factor 3.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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