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Simplifying ln(t + 1) = ln(3) + ln(t + -4) Reorder the terms: ln(1 + t) = ln(3) + ln(t + -4) (1 * ln + t * ln) = ln(3) + ln(t + -4) (1ln + lnt) = ln(3) + ln(t + -4) Reorder the terms for easier multiplication: 1ln + lnt = 3ln + ln(t + -4) Reorder the terms: 1ln + lnt = 3ln + ln(-4 + t) 1ln + lnt = 3ln + (-4 * ln + t * ln) 1ln + lnt = 3ln + (-4ln + lnt) Combine like terms: 3ln + -4ln = -1ln 1ln + lnt = -1ln + lnt Add '-1lnt' to each side of the equation. 1ln + lnt + -1lnt = -1ln + lnt + -1lnt Combine like terms: lnt + -1lnt = 0 1ln + 0 = -1ln + lnt + -1lnt 1ln = -1ln + lnt + -1lnt Combine like terms: lnt + -1lnt = 0 1ln = -1ln + 0 1ln = -1ln Solving 1ln = -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. 1ln + ln = -1ln + ln Combine like terms: 1ln + ln = 2ln 2ln = -1ln + ln Combine like terms: -1ln + ln = 0 2ln = 0 Divide each side by '2'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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