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Simplifying 6ln(3x + 8) = 20 Reorder the terms: 6ln(8 + 3x) = 20 (8 * 6ln + 3x * 6ln) = 20 (48ln + 18lnx) = 20 Solving 48ln + 18lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -20 + 48ln + 18lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 48ln + 18lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 24ln + 9lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + 24ln + 9lnx)' equal to zero and attempt to solve: Simplifying -10 + 24ln + 9lnx = 0 Solving -10 + 24ln + 9lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 24ln + 10 + 9lnx = 0 + 10 Reorder the terms: -10 + 10 + 24ln + 9lnx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 24ln + 9lnx = 0 + 10 24ln + 9lnx = 0 + 10 Combine like terms: 0 + 10 = 10 24ln + 9lnx = 10 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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