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Simplifying 4ln(x + 2) = 80 Reorder the terms: 4ln(2 + x) = 80 (2 * 4ln + x * 4ln) = 80 (8ln + 4lnx) = 80 Solving 8ln + 4lnx = 80 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -80 + 8ln + 4lnx = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 8ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-20 + 2ln + lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-20 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -20 + 2ln + lnx = 0 Solving -20 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 2ln + 20 + lnx = 0 + 20 Reorder the terms: -20 + 20 + 2ln + lnx = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2ln + lnx = 0 + 20 2ln + lnx = 0 + 20 Combine like terms: 0 + 20 = 20 2ln + lnx = 20 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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