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Simplifying 4ln(x + -2) + -3 = 21 Reorder the terms: 4ln(-2 + x) + -3 = 21 (-2 * 4ln + x * 4ln) + -3 = 21 (-8ln + 4lnx) + -3 = 21 Reorder the terms: -3 + -8ln + 4lnx = 21 Solving -3 + -8ln + 4lnx = 21 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -8ln + 3 + 4lnx = 21 + 3 Reorder the terms: -3 + 3 + -8ln + 4lnx = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -8ln + 4lnx = 21 + 3 -8ln + 4lnx = 21 + 3 Combine like terms: 21 + 3 = 24 -8ln + 4lnx = 24 Reorder the terms: -24 + -8ln + 4lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -8ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -2ln + lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -2ln + lnx)' equal to zero and attempt to solve: Simplifying -6 + -2ln + lnx = 0 Solving -6 + -2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2ln + 6 + lnx = 0 + 6 Reorder the terms: -6 + 6 + -2ln + lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2ln + lnx = 0 + 6 -2ln + lnx = 0 + 6 Combine like terms: 0 + 6 = 6 -2ln + lnx = 6 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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