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Simplifying ln(x + 1) + -1ln(x + -1) = ln(3) Reorder the terms: ln(1 + x) + -1ln(x + -1) = ln(3) (1 * ln + x * ln) + -1ln(x + -1) = ln(3) (1ln + lnx) + -1ln(x + -1) = ln(3) Reorder the terms: 1ln + lnx + -1ln(-1 + x) = ln(3) 1ln + lnx + (-1 * -1ln + x * -1ln) = ln(3) 1ln + lnx + (1ln + -1lnx) = ln(3) Reorder the terms: 1ln + 1ln + lnx + -1lnx = ln(3) Combine like terms: 1ln + 1ln = 2ln 2ln + lnx + -1lnx = ln(3) Combine like terms: lnx + -1lnx = 0 2ln + 0 = ln(3) 2ln = ln(3) Reorder the terms for easier multiplication: 2ln = 3ln Solving 2ln = 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. 2ln + -3ln = 3ln + -3ln Combine like terms: 2ln + -3ln = -1ln -1ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 -1ln = 0 Divide each side by '-1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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