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Simplifying 4ln(x + 3) = -8 Reorder the terms: 4ln(3 + x) = -8 (3 * 4ln + x * 4ln) = -8 (12ln + 4lnx) = -8 Solving 12ln + 4lnx = -8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 8 + 12ln + 4lnx = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 12ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + 3ln + lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying 2 + 3ln + lnx = 0 Solving 2 + 3ln + 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 + 3ln + -2 + lnx = 0 + -2 Reorder the terms: 2 + -2 + 3ln + lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3ln + lnx = 0 + -2 3ln + lnx = 0 + -2 Combine like terms: 0 + -2 = -2 3ln + 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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