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Simplifying 3ln(x + 6) = -6 Reorder the terms: 3ln(6 + x) = -6 (6 * 3ln + x * 3ln) = -6 (18ln + 3lnx) = -6 Solving 18ln + 3lnx = -6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 6 + 18ln + 3lnx = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 18ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + 6ln + lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + 6ln + lnx)' equal to zero and attempt to solve: Simplifying 2 + 6ln + lnx = 0 Solving 2 + 6ln + 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 + 6ln + -2 + lnx = 0 + -2 Reorder the terms: 2 + -2 + 6ln + lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6ln + lnx = 0 + -2 6ln + lnx = 0 + -2 Combine like terms: 0 + -2 = -2 6ln + 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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