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Simplifying 3ln(x + 2) = 21 Reorder the terms: 3ln(2 + x) = 21 (2 * 3ln + x * 3ln) = 21 (6ln + 3lnx) = 21 Solving 6ln + 3lnx = 21 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -21 + 6ln + 3lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 6ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 2ln + lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -7 + 2ln + lnx = 0 Solving -7 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2ln + 7 + lnx = 0 + 7 Reorder the terms: -7 + 7 + 2ln + lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2ln + lnx = 0 + 7 2ln + lnx = 0 + 7 Combine like terms: 0 + 7 = 7 2ln + lnx = 7 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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