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