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Simplifying 4ln(3x + -2) = 4 Reorder the terms: 4ln(-2 + 3x) = 4 (-2 * 4ln + 3x * 4ln) = 4 (-8ln + 12lnx) = 4 Solving -8ln + 12lnx = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -4 + -8ln + 12lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -8ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -2ln + 3lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -2ln + 3lnx)' equal to zero and attempt to solve: Simplifying -1 + -2ln + 3lnx = 0 Solving -1 + -2ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2ln + 1 + 3lnx = 0 + 1 Reorder the terms: -1 + 1 + -2ln + 3lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2ln + 3lnx = 0 + 1 -2ln + 3lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -2ln + 3lnx = 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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