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Simplifying ln(x + 8) + -1ln(x + -8) = ln(3) Reorder the terms: ln(8 + x) + -1ln(x + -8) = ln(3) (8 * ln + x * ln) + -1ln(x + -8) = ln(3) (8ln + lnx) + -1ln(x + -8) = ln(3) Reorder the terms: 8ln + lnx + -1ln(-8 + x) = ln(3) 8ln + lnx + (-8 * -1ln + x * -1ln) = ln(3) 8ln + lnx + (8ln + -1lnx) = ln(3) Reorder the terms: 8ln + 8ln + lnx + -1lnx = ln(3) Combine like terms: 8ln + 8ln = 16ln 16ln + lnx + -1lnx = ln(3) Combine like terms: lnx + -1lnx = 0 16ln + 0 = ln(3) 16ln = ln(3) Reorder the terms for easier multiplication: 16ln = 3ln Solving 16ln = 3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. 16ln + -3ln = 3ln + -3ln Combine like terms: 16ln + -3ln = 13ln 13ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 13ln = 0 Divide each side by '13'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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