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Simplifying ln(x) = 2 + ln(x + -4) Multiply ln * x lnx = 2 + ln(x + -4) Reorder the terms: lnx = 2 + ln(-4 + x) lnx = 2 + (-4 * ln + x * ln) lnx = 2 + (-4ln + lnx) Add '-1lnx' to each side of the equation. lnx + -1lnx = 2 + -4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 2 + -4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 2 + -4ln + 0 0 = 2 + -4ln Solving 0 = 2 + -4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4ln' to each side of the equation. 0 + 4ln = 2 + -4ln + 4ln Remove the zero: 4ln = 2 + -4ln + 4ln Combine like terms: -4ln + 4ln = 0 4ln = 2 + 0 4ln = 2 Divide each side by '4n'. l = 0.5n-1 Simplifying l = 0.5n-1
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