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Simplifying 5ln(3x + 4) = 20 Reorder the terms: 5ln(4 + 3x) = 20 (4 * 5ln + 3x * 5ln) = 20 (20ln + 15lnx) = 20 Solving 20ln + 15lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -20 + 20ln + 15lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 20ln + 15lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + 4ln + 3lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + 4ln + 3lnx)' equal to zero and attempt to solve: Simplifying -4 + 4ln + 3lnx = 0 Solving -4 + 4ln + 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 + 4ln + 4 + 3lnx = 0 + 4 Reorder the terms: -4 + 4 + 4ln + 3lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4ln + 3lnx = 0 + 4 4ln + 3lnx = 0 + 4 Combine like terms: 0 + 4 = 4 4ln + 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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