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