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Simplifying lnx = 2 + ln(x + -3) Reorder the terms: lnx = 2 + ln(-3 + x) lnx = 2 + (-3 * ln + x * ln) lnx = 2 + (-3ln + lnx) Add '-1lnx' to each side of the equation. lnx + -1lnx = 2 + -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 2 + -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 2 + -3ln + 0 0 = 2 + -3ln Solving 0 = 2 + -3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. 0 + 3ln = 2 + -3ln + 3ln Remove the zero: 3ln = 2 + -3ln + 3ln Combine like terms: -3ln + 3ln = 0 3ln = 2 + 0 3ln = 2 Divide each side by '3n'. l = 0.6666666667n-1 Simplifying l = 0.6666666667n-1
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