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Simplifying 5ln(3x + 4) = 50 Reorder the terms: 5ln(4 + 3x) = 50 (4 * 5ln + 3x * 5ln) = 50 (20ln + 15lnx) = 50 Solving 20ln + 15lnx = 50 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -50 + 20ln + 15lnx = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + 20ln + 15lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + 4ln + 3lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + 4ln + 3lnx)' equal to zero and attempt to solve: Simplifying -10 + 4ln + 3lnx = 0 Solving -10 + 4ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4ln + 10 + 3lnx = 0 + 10 Reorder the terms: -10 + 10 + 4ln + 3lnx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4ln + 3lnx = 0 + 10 4ln + 3lnx = 0 + 10 Combine like terms: 0 + 10 = 10 4ln + 3lnx = 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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