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