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Simplifying 5ln(2x + 8) = 20 Reorder the terms: 5ln(8 + 2x) = 20 (8 * 5ln + 2x * 5ln) = 20 (40ln + 10lnx) = 20 Solving 40ln + 10lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -20 + 40ln + 10lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 40ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-2 + 4ln + lnx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-2 + 4ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + 4ln + lnx = 0 Solving -2 + 4ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + 4ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4ln + lnx = 0 + 2 4ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 4ln + lnx = 2 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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