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Simplifying 0.5ln(x + 19) + 0.5ln(x + -17) = ln(x) Reorder the terms: 0.5ln(19 + x) + 0.5ln(x + -17) = ln(x) (19 * 0.5ln + x * 0.5ln) + 0.5ln(x + -17) = ln(x) (9.5ln + 0.5lnx) + 0.5ln(x + -17) = ln(x) Reorder the terms: 9.5ln + 0.5lnx + 0.5ln(-17 + x) = ln(x) 9.5ln + 0.5lnx + (-17 * 0.5ln + x * 0.5ln) = ln(x) 9.5ln + 0.5lnx + (-8.5ln + 0.5lnx) = ln(x) Reorder the terms: 9.5ln + -8.5ln + 0.5lnx + 0.5lnx = ln(x) Combine like terms: 9.5ln + -8.5ln = 1ln 1ln + 0.5lnx + 0.5lnx = ln(x) Combine like terms: 0.5lnx + 0.5lnx = 1lnx 1ln + 1lnx = ln(x) Multiply ln * x 1ln + 1lnx = lnx Solving 1ln + 1lnx = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 1ln + 1lnx + -1lnx = lnx + -1lnx Combine like terms: 1lnx + -1lnx = 0 1ln + 0 = lnx + -1lnx 1ln = lnx + -1lnx Combine like terms: lnx + -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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