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Simplifying 2ln(2x + 6) = 24 Reorder the terms: 2ln(6 + 2x) = 24 (6 * 2ln + 2x * 2ln) = 24 (12ln + 4lnx) = 24 Solving 12ln + 4lnx = 24 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -24 + 12ln + 4lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 12ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 3ln + lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying -6 + 3ln + lnx = 0 Solving -6 + 3ln + 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 + 3ln + 6 + lnx = 0 + 6 Reorder the terms: -6 + 6 + 3ln + lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3ln + lnx = 0 + 6 3ln + lnx = 0 + 6 Combine like terms: 0 + 6 = 6 3ln + 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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