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Simplifying ln(1 + -1x) + ln(1 + x) = ln(3) + -1ln(4) (1 * ln + -1x * ln) + ln(1 + x) = ln(3) + -1ln(4) (1ln + -1lnx) + ln(1 + x) = ln(3) + -1ln(4) 1ln + -1lnx + (1 * ln + x * ln) = ln(3) + -1ln(4) 1ln + -1lnx + (1ln + lnx) = ln(3) + -1ln(4) Reorder the terms: 1ln + 1ln + -1lnx + lnx = ln(3) + -1ln(4) Combine like terms: 1ln + 1ln = 2ln 2ln + -1lnx + lnx = ln(3) + -1ln(4) Combine like terms: -1lnx + lnx = 0 2ln + 0 = ln(3) + -1ln(4) 2ln = ln(3) + -1ln(4) Reorder the terms for easier multiplication: 2ln = 3ln + -1ln(4) Reorder the terms for easier multiplication: 2ln = 3ln + -1 * 4ln Multiply -1 * 4 2ln = 3ln + -4ln Combine like terms: 3ln + -4ln = -1ln 2ln = -1ln Solving 2ln = -1ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'ln' to each side of the equation. 2ln + ln = -1ln + ln Combine like terms: 2ln + ln = 3ln 3ln = -1ln + ln Combine like terms: -1ln + ln = 0 3ln = 0 Divide each side by '3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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