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Simplifying 2ln(x + 3) + -4 = 20 Reorder the terms: 2ln(3 + x) + -4 = 20 (3 * 2ln + x * 2ln) + -4 = 20 (6ln + 2lnx) + -4 = 20 Reorder the terms: -4 + 6ln + 2lnx = 20 Solving -4 + 6ln + 2lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6ln + 4 + 2lnx = 20 + 4 Reorder the terms: -4 + 4 + 6ln + 2lnx = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6ln + 2lnx = 20 + 4 6ln + 2lnx = 20 + 4 Combine like terms: 20 + 4 = 24 6ln + 2lnx = 24 Reorder the terms: -24 + 6ln + 2lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 6ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 3ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying -12 + 3ln + lnx = 0 Solving -12 + 3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3ln + 12 + lnx = 0 + 12 Reorder the terms: -12 + 12 + 3ln + lnx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3ln + lnx = 0 + 12 3ln + lnx = 0 + 12 Combine like terms: 0 + 12 = 12 3ln + lnx = 12 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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