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Simplifying 3ln(2x + 5) = 12 Reorder the terms: 3ln(5 + 2x) = 12 (5 * 3ln + 2x * 3ln) = 12 (15ln + 6lnx) = 12 Solving 15ln + 6lnx = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -12 + 15ln + 6lnx = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 15ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 5ln + 2lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + 5ln + 2lnx)' equal to zero and attempt to solve: Simplifying -4 + 5ln + 2lnx = 0 Solving -4 + 5ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5ln + 4 + 2lnx = 0 + 4 Reorder the terms: -4 + 4 + 5ln + 2lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5ln + 2lnx = 0 + 4 5ln + 2lnx = 0 + 4 Combine like terms: 0 + 4 = 4 5ln + 2lnx = 4 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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