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Simplifying 3ln(4x + 8) = 16 Reorder the terms: 3ln(8 + 4x) = 16 (8 * 3ln + 4x * 3ln) = 16 (24ln + 12lnx) = 16 Solving 24ln + 12lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -16 + 24ln + 12lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 24ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + 6ln + 3lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + 6ln + 3lnx)' equal to zero and attempt to solve: Simplifying -4 + 6ln + 3lnx = 0 Solving -4 + 6ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6ln + 4 + 3lnx = 0 + 4 Reorder the terms: -4 + 4 + 6ln + 3lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6ln + 3lnx = 0 + 4 6ln + 3lnx = 0 + 4 Combine like terms: 0 + 4 = 4 6ln + 3lnx = 4 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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