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Simplifying 5ln(3x + 7) = 40 Reorder the terms: 5ln(7 + 3x) = 40 (7 * 5ln + 3x * 5ln) = 40 (35ln + 15lnx) = 40 Solving 35ln + 15lnx = 40 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -40 + 35ln + 15lnx = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 35ln + 15lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-8 + 7ln + 3lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + 7ln + 3lnx)' equal to zero and attempt to solve: Simplifying -8 + 7ln + 3lnx = 0 Solving -8 + 7ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 7ln + 8 + 3lnx = 0 + 8 Reorder the terms: -8 + 8 + 7ln + 3lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7ln + 3lnx = 0 + 8 7ln + 3lnx = 0 + 8 Combine like terms: 0 + 8 = 8 7ln + 3lnx = 8 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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