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