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Simplifying 3ln(4x + 4) = 20 Reorder the terms: 3ln(4 + 4x) = 20 (4 * 3ln + 4x * 3ln) = 20 (12ln + 12lnx) = 20 Solving 12ln + 12lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -20 + 12ln + 12lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 12ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + 3ln + 3lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + 3ln + 3lnx)' equal to zero and attempt to solve: Simplifying -5 + 3ln + 3lnx = 0 Solving -5 + 3ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3ln + 5 + 3lnx = 0 + 5 Reorder the terms: -5 + 5 + 3ln + 3lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3ln + 3lnx = 0 + 5 3ln + 3lnx = 0 + 5 Combine like terms: 0 + 5 = 5 3ln + 3lnx = 5 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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