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Simplifying 2ln(x + -6) = -4 Reorder the terms: 2ln(-6 + x) = -4 (-6 * 2ln + x * 2ln) = -4 (-12ln + 2lnx) = -4 Solving -12ln + 2lnx = -4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 4 + -12ln + 2lnx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -12ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -6ln + lnx) = 0 Ignore the factor 2.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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