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Simplifying 6ln(2x + -4) = 9 Reorder the terms: 6ln(-4 + 2x) = 9 (-4 * 6ln + 2x * 6ln) = 9 (-24ln + 12lnx) = 9 Solving -24ln + 12lnx = 9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -9 + -24ln + 12lnx = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -24ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -8ln + 4lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -8ln + 4lnx)' equal to zero and attempt to solve: Simplifying -3 + -8ln + 4lnx = 0 Solving -3 + -8ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -8ln + 3 + 4lnx = 0 + 3 Reorder the terms: -3 + 3 + -8ln + 4lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8ln + 4lnx = 0 + 3 -8ln + 4lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -8ln + 4lnx = 3 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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