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Simplifying 3ln(x + -2) + -10 = 14 Reorder the terms: 3ln(-2 + x) + -10 = 14 (-2 * 3ln + x * 3ln) + -10 = 14 (-6ln + 3lnx) + -10 = 14 Reorder the terms: -10 + -6ln + 3lnx = 14 Solving -10 + -6ln + 3lnx = 14 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -6ln + 10 + 3lnx = 14 + 10 Reorder the terms: -10 + 10 + -6ln + 3lnx = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -6ln + 3lnx = 14 + 10 -6ln + 3lnx = 14 + 10 Combine like terms: 14 + 10 = 24 -6ln + 3lnx = 24 Reorder the terms: -24 + -6ln + 3lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -6ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -2ln + lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -2ln + lnx)' equal to zero and attempt to solve: Simplifying -8 + -2ln + lnx = 0 Solving -8 + -2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2ln + 8 + lnx = 0 + 8 Reorder the terms: -8 + 8 + -2ln + lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2ln + lnx = 0 + 8 -2ln + lnx = 0 + 8 Combine like terms: 0 + 8 = 8 -2ln + lnx = 8 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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