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Simplifying ln(x + 4) + ln(x + -1) = 2ln(x) Reorder the terms: ln(4 + x) + ln(x + -1) = 2ln(x) (4 * ln + x * ln) + ln(x + -1) = 2ln(x) (4ln + lnx) + ln(x + -1) = 2ln(x) Reorder the terms: 4ln + lnx + ln(-1 + x) = 2ln(x) 4ln + lnx + (-1 * ln + x * ln) = 2ln(x) 4ln + lnx + (-1ln + lnx) = 2ln(x) Reorder the terms: 4ln + -1ln + lnx + lnx = 2ln(x) Combine like terms: 4ln + -1ln = 3ln 3ln + lnx + lnx = 2ln(x) Combine like terms: lnx + lnx = 2lnx 3ln + 2lnx = 2ln(x) Multiply ln * x 3ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. 3ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 3ln + 0 = 2lnx + -2lnx 3ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 3ln = 0 Solving 3ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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