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Simplifying ln(x + 3) = 3 + -1ln(x + 1) Reorder the terms: ln(3 + x) = 3 + -1ln(x + 1) (3 * ln + x * ln) = 3 + -1ln(x + 1) (3ln + lnx) = 3 + -1ln(x + 1) Reorder the terms: 3ln + lnx = 3 + -1ln(1 + x) 3ln + lnx = 3 + (1 * -1ln + x * -1ln) 3ln + lnx = 3 + (-1ln + -1lnx) Solving 3ln + lnx = 3 + -1ln + -1lnx 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. 3ln + ln + lnx = 3 + -1ln + ln + -1lnx Combine like terms: 3ln + ln = 4ln 4ln + lnx = 3 + -1ln + ln + -1lnx Combine like terms: -1ln + ln = 0 4ln + lnx = 3 + 0 + -1lnx 4ln + lnx = 3 + -1lnx Add 'lnx' to each side of the equation. 4ln + lnx + lnx = 3 + -1lnx + lnx Combine like terms: lnx + lnx = 2lnx 4ln + 2lnx = 3 + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 4ln + 2lnx = 3 + 0 4ln + 2lnx = 3 Reorder the terms: -3 + 4ln + 2lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 4ln + 2lnx = 0 The solution to this equation could not be determined.
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