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Simplifying lnx + -1ln(x + -8) = ln(5) Reorder the terms: lnx + -1ln(-8 + x) = ln(5) lnx + (-8 * -1ln + x * -1ln) = ln(5) lnx + (8ln + -1lnx) = ln(5) Reorder the terms: 8ln + lnx + -1lnx = ln(5) Combine like terms: lnx + -1lnx = 0 8ln + 0 = ln(5) 8ln = ln(5) Reorder the terms for easier multiplication: 8ln = 5ln Solving 8ln = 5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 8ln + -5ln = 5ln + -5ln Combine like terms: 8ln + -5ln = 3ln 3ln = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 3ln = 0 Divide each side by '3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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