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Simplifying 0.5ln(-1x + 3) = ln(x + 1) Reorder the terms: 0.5ln(3 + -1x) = ln(x + 1) (3 * 0.5ln + -1x * 0.5ln) = ln(x + 1) (1.5ln + -0.5lnx) = ln(x + 1) Reorder the terms: 1.5ln + -0.5lnx = ln(1 + x) 1.5ln + -0.5lnx = (1 * ln + x * ln) 1.5ln + -0.5lnx = (1ln + lnx) Solving 1.5ln + -0.5lnx = 1ln + lnx 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. 1.5ln + -1ln + -0.5lnx = 1ln + -1ln + lnx Combine like terms: 1.5ln + -1ln = 0.5ln 0.5ln + -0.5lnx = 1ln + -1ln + lnx Combine like terms: 1ln + -1ln = 0 0.5ln + -0.5lnx = 0 + lnx 0.5ln + -0.5lnx = lnx Add '-1lnx' to each side of the equation. 0.5ln + -0.5lnx + -1lnx = lnx + -1lnx Combine like terms: -0.5lnx + -1lnx = -1.5lnx 0.5ln + -1.5lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0.5ln + -1.5lnx = 0 The solution to this equation could not be determined.
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