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Simplifying 4ln(x + -2) + -2 = 6 Reorder the terms: 4ln(-2 + x) + -2 = 6 (-2 * 4ln + x * 4ln) + -2 = 6 (-8ln + 4lnx) + -2 = 6 Reorder the terms: -2 + -8ln + 4lnx = 6 Solving -2 + -8ln + 4lnx = 6 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 + -8ln + 2 + 4lnx = 6 + 2 Reorder the terms: -2 + 2 + -8ln + 4lnx = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -8ln + 4lnx = 6 + 2 -8ln + 4lnx = 6 + 2 Combine like terms: 6 + 2 = 8 -8ln + 4lnx = 8 Reorder the terms: -8 + -8ln + 4lnx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -8ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + -2ln + lnx) = 0 Ignore the factor 4.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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