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Simplifying 5ln(2x + 8) = 22 Reorder the terms: 5ln(8 + 2x) = 22 (8 * 5ln + 2x * 5ln) = 22 (40ln + 10lnx) = 22 Solving 40ln + 10lnx = 22 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -22 + 40ln + 10lnx = 22 + -22 Combine like terms: 22 + -22 = 0 -22 + 40ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + 20ln + 5lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + 20ln + 5lnx)' equal to zero and attempt to solve: Simplifying -11 + 20ln + 5lnx = 0 Solving -11 + 20ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 20ln + 11 + 5lnx = 0 + 11 Reorder the terms: -11 + 11 + 20ln + 5lnx = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 20ln + 5lnx = 0 + 11 20ln + 5lnx = 0 + 11 Combine like terms: 0 + 11 = 11 20ln + 5lnx = 11 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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