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Simplifying 2ln(2 + -1x) + 3 = 15 (2 * 2ln + -1x * 2ln) + 3 = 15 (4ln + -2lnx) + 3 = 15 Reorder the terms: 3 + 4ln + -2lnx = 15 Solving 3 + 4ln + -2lnx = 15 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 + 4ln + -3 + -2lnx = 15 + -3 Reorder the terms: 3 + -3 + 4ln + -2lnx = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4ln + -2lnx = 15 + -3 4ln + -2lnx = 15 + -3 Combine like terms: 15 + -3 = 12 4ln + -2lnx = 12 Reorder the terms: -12 + 4ln + -2lnx = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 4ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 2ln + -1lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 2ln + -1lnx)' equal to zero and attempt to solve: Simplifying -6 + 2ln + -1lnx = 0 Solving -6 + 2ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2ln + 6 + -1lnx = 0 + 6 Reorder the terms: -6 + 6 + 2ln + -1lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2ln + -1lnx = 0 + 6 2ln + -1lnx = 0 + 6 Combine like terms: 0 + 6 = 6 2ln + -1lnx = 6 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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