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Simplifying Ln(x2 + -1) + 3 = ln(x + 1) Reorder the terms: nL(-1 + x2) + 3 = ln(x + 1) (-1 * nL + x2 * nL) + 3 = ln(x + 1) (-1nL + nx2L) + 3 = ln(x + 1) Reorder the terms: 3 + -1nL + nx2L = ln(x + 1) Reorder the terms: 3 + -1nL + nx2L = ln(1 + x) 3 + -1nL + nx2L = (1 * ln + x * ln) 3 + -1nL + nx2L = (1ln + lnx) Solving 3 + -1nL + nx2L = 1ln + lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1ln' to each side of the equation. 3 + -1nL + -1ln + nx2L = 1ln + -1ln + lnx Reorder the terms: 3 + -1ln + -1nL + nx2L = 1ln + -1ln + lnx Combine like terms: 1ln + -1ln = 0 3 + -1ln + -1nL + nx2L = 0 + lnx 3 + -1ln + -1nL + nx2L = lnx Add '-1lnx' to each side of the equation. 3 + -1ln + -1nL + -1lnx + nx2L = lnx + -1lnx Reorder the terms: 3 + -1ln + -1lnx + -1nL + nx2L = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 3 + -1ln + -1lnx + -1nL + nx2L = 0 Add '-3' to each side of the equation. 3 + -1ln + -1lnx + -1nL + -3 + nx2L = 0 + -3 Reorder the terms: 3 + -3 + -1ln + -1lnx + -1nL + nx2L = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1ln + -1lnx + -1nL + nx2L = 0 + -3 -1ln + -1lnx + -1nL + nx2L = 0 + -3 Combine like terms: 0 + -3 = -3 -1ln + -1lnx + -1nL + nx2L = -3 Reorder the terms: 3 + -1ln + -1lnx + -1nL + nx2L = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -1ln + -1lnx + -1nL + nx2L = 0 The solution to this equation could not be determined.
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