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Simplifying ln(x + 5) + -1ln(x + -4) = ln(4) Reorder the terms: ln(5 + x) + -1ln(x + -4) = ln(4) (5 * ln + x * ln) + -1ln(x + -4) = ln(4) (5ln + lnx) + -1ln(x + -4) = ln(4) Reorder the terms: 5ln + lnx + -1ln(-4 + x) = ln(4) 5ln + lnx + (-4 * -1ln + x * -1ln) = ln(4) 5ln + lnx + (4ln + -1lnx) = ln(4) Reorder the terms: 5ln + 4ln + lnx + -1lnx = ln(4) Combine like terms: 5ln + 4ln = 9ln 9ln + lnx + -1lnx = ln(4) Combine like terms: lnx + -1lnx = 0 9ln + 0 = ln(4) 9ln = ln(4) Reorder the terms for easier multiplication: 9ln = 4ln Solving 9ln = 4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 9ln + -4ln = 4ln + -4ln Combine like terms: 9ln + -4ln = 5ln 5ln = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 5ln = 0 Divide each side by '5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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