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Simplifying ln(x) + -1ln(x + -1) = ln(x + 3) + -1ln(x + 5) Multiply ln * x lnx + -1ln(x + -1) = ln(x + 3) + -1ln(x + 5) Reorder the terms: lnx + -1ln(-1 + x) = ln(x + 3) + -1ln(x + 5) lnx + (-1 * -1ln + x * -1ln) = ln(x + 3) + -1ln(x + 5) lnx + (1ln + -1lnx) = ln(x + 3) + -1ln(x + 5) Reorder the terms: 1ln + lnx + -1lnx = ln(x + 3) + -1ln(x + 5) Combine like terms: lnx + -1lnx = 0 1ln + 0 = ln(x + 3) + -1ln(x + 5) 1ln = ln(x + 3) + -1ln(x + 5) Reorder the terms: 1ln = ln(3 + x) + -1ln(x + 5) 1ln = (3 * ln + x * ln) + -1ln(x + 5) 1ln = (3ln + lnx) + -1ln(x + 5) Reorder the terms: 1ln = 3ln + lnx + -1ln(5 + x) 1ln = 3ln + lnx + (5 * -1ln + x * -1ln) 1ln = 3ln + lnx + (-5ln + -1lnx) Reorder the terms: 1ln = 3ln + -5ln + lnx + -1lnx Combine like terms: 3ln + -5ln = -2ln 1ln = -2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 1ln = -2ln + 0 1ln = -2ln Solving 1ln = -2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2ln' to each side of the equation. 1ln + 2ln = -2ln + 2ln Combine like terms: 1ln + 2ln = 3ln 3ln = -2ln + 2ln Combine like terms: -2ln + 2ln = 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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