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Simplifying 3ln(x + 3) = 15 Reorder the terms: 3ln(3 + x) = 15 (3 * 3ln + x * 3ln) = 15 (9ln + 3lnx) = 15 Solving 9ln + 3lnx = 15 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -15 + 9ln + 3lnx = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 9ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 3ln + lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying -5 + 3ln + lnx = 0 Solving -5 + 3ln + lnx = 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 + lnx = 0 + 5 Reorder the terms: -5 + 5 + 3ln + lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3ln + lnx = 0 + 5 3ln + lnx = 0 + 5 Combine like terms: 0 + 5 = 5 3ln + lnx = 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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