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Simplifying 3ln(2x + 3) = 9 Reorder the terms: 3ln(3 + 2x) = 9 (3 * 3ln + 2x * 3ln) = 9 (9ln + 6lnx) = 9 Solving 9ln + 6lnx = 9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -9 + 9ln + 6lnx = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 9ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 3ln + 2lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + 3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -3 + 3ln + 2lnx = 0 Solving -3 + 3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3ln + 3 + 2lnx = 0 + 3 Reorder the terms: -3 + 3 + 3ln + 2lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3ln + 2lnx = 0 + 3 3ln + 2lnx = 0 + 3 Combine like terms: 0 + 3 = 3 3ln + 2lnx = 3 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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