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Simplifying 6ln(2x + 3) = 72 Reorder the terms: 6ln(3 + 2x) = 72 (3 * 6ln + 2x * 6ln) = 72 (18ln + 12lnx) = 72 Solving 18ln + 12lnx = 72 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -72 + 18ln + 12lnx = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 18ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-12 + 3ln + 2lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-12 + 3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -12 + 3ln + 2lnx = 0 Solving -12 + 3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3ln + 12 + 2lnx = 0 + 12 Reorder the terms: -12 + 12 + 3ln + 2lnx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3ln + 2lnx = 0 + 12 3ln + 2lnx = 0 + 12 Combine like terms: 0 + 12 = 12 3ln + 2lnx = 12 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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