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