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Simplifying 2 + -3ln(x + 2) = 8 Reorder the terms: 2 + -3ln(2 + x) = 8 2 + (2 * -3ln + x * -3ln) = 8 2 + (-6ln + -3lnx) = 8 Solving 2 + -6ln + -3lnx = 8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -6ln + -2 + -3lnx = 8 + -2 Reorder the terms: 2 + -2 + -6ln + -3lnx = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6ln + -3lnx = 8 + -2 -6ln + -3lnx = 8 + -2 Combine like terms: 8 + -2 = 6 -6ln + -3lnx = 6 Reorder the terms: -6 + -6ln + -3lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -6ln + -3lnx = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(2 + 2ln + lnx) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(2 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying 2 + 2ln + lnx = 0 Solving 2 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2ln + -2 + lnx = 0 + -2 Reorder the terms: 2 + -2 + 2ln + lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2ln + lnx = 0 + -2 2ln + lnx = 0 + -2 Combine like terms: 0 + -2 = -2 2ln + lnx = -2 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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