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Simplifying 6ln(x + 2) + -3 = 12 Reorder the terms: 6ln(2 + x) + -3 = 12 (2 * 6ln + x * 6ln) + -3 = 12 (12ln + 6lnx) + -3 = 12 Reorder the terms: -3 + 12ln + 6lnx = 12 Solving -3 + 12ln + 6lnx = 12 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 + 12ln + 3 + 6lnx = 12 + 3 Reorder the terms: -3 + 3 + 12ln + 6lnx = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 12ln + 6lnx = 12 + 3 12ln + 6lnx = 12 + 3 Combine like terms: 12 + 3 = 15 12ln + 6lnx = 15 Reorder the terms: -15 + 12ln + 6lnx = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 12ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 4ln + 2lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + 4ln + 2lnx)' equal to zero and attempt to solve: Simplifying -5 + 4ln + 2lnx = 0 Solving -5 + 4ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4ln + 5 + 2lnx = 0 + 5 Reorder the terms: -5 + 5 + 4ln + 2lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4ln + 2lnx = 0 + 5 4ln + 2lnx = 0 + 5 Combine like terms: 0 + 5 = 5 4ln + 2lnx = 5 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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