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Simplifying lnx = 2 + ln(x + -1) Reorder the terms: lnx = 2 + ln(-1 + x) lnx = 2 + (-1 * ln + x * ln) lnx = 2 + (-1ln + lnx) Add '-1lnx' to each side of the equation. lnx + -1lnx = 2 + -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 2 + -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 2 + -1ln + 0 0 = 2 + -1ln Solving 0 = 2 + -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. 0 + ln = 2 + -1ln + ln Remove the zero: ln = 2 + -1ln + ln Combine like terms: -1ln + ln = 0 ln = 2 + 0 ln = 2 Divide each side by 'n'. l = 2n-1 Simplifying l = 2n-1
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