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