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Simplifying ln(x + 3) + ln(2 + -1x) = ln(4) Reorder the terms: ln(3 + x) + ln(2 + -1x) = ln(4) (3 * ln + x * ln) + ln(2 + -1x) = ln(4) (3ln + lnx) + ln(2 + -1x) = ln(4) 3ln + lnx + (2 * ln + -1x * ln) = ln(4) 3ln + lnx + (2ln + -1lnx) = ln(4) Reorder the terms: 3ln + 2ln + lnx + -1lnx = ln(4) Combine like terms: 3ln + 2ln = 5ln 5ln + lnx + -1lnx = ln(4) Combine like terms: lnx + -1lnx = 0 5ln + 0 = ln(4) 5ln = ln(4) Reorder the terms for easier multiplication: 5ln = 4ln Solving 5ln = 4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 5ln + -4ln = 4ln + -4ln Combine like terms: 5ln + -4ln = 1ln 1ln = 4ln + -4ln Combine like terms: 4ln + -4ln = 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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