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Simplifying -3ln(-2x + 1) + 5 = -4 Reorder the terms: -3ln(1 + -2x) + 5 = -4 (1 * -3ln + -2x * -3ln) + 5 = -4 (-3ln + 6lnx) + 5 = -4 Reorder the terms: 5 + -3ln + 6lnx = -4 Solving 5 + -3ln + 6lnx = -4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3ln + -5 + 6lnx = -4 + -5 Reorder the terms: 5 + -5 + -3ln + 6lnx = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3ln + 6lnx = -4 + -5 -3ln + 6lnx = -4 + -5 Combine like terms: -4 + -5 = -9 -3ln + 6lnx = -9 Reorder the terms: 9 + -3ln + 6lnx = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -3ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -1ln + 2lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -1ln + 2lnx)' equal to zero and attempt to solve: Simplifying 3 + -1ln + 2lnx = 0 Solving 3 + -1ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1ln + -3 + 2lnx = 0 + -3 Reorder the terms: 3 + -3 + -1ln + 2lnx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1ln + 2lnx = 0 + -3 -1ln + 2lnx = 0 + -3 Combine like terms: 0 + -3 = -3 -1ln + 2lnx = -3 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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