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Simplifying 2ln(x + 2) + 6 = 14 Reorder the terms: 2ln(2 + x) + 6 = 14 (2 * 2ln + x * 2ln) + 6 = 14 (4ln + 2lnx) + 6 = 14 Reorder the terms: 6 + 4ln + 2lnx = 14 Solving 6 + 4ln + 2lnx = 14 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4ln + -6 + 2lnx = 14 + -6 Reorder the terms: 6 + -6 + 4ln + 2lnx = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 4ln + 2lnx = 14 + -6 4ln + 2lnx = 14 + -6 Combine like terms: 14 + -6 = 8 4ln + 2lnx = 8 Reorder the terms: -8 + 4ln + 2lnx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + 2ln + lnx = 0 Solving -4 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + 2ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2ln + lnx = 0 + 4 2ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 2ln + lnx = 4 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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