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