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Simplifying lnx + 4 = ln(x + 2) Reorder the terms: 4 + lnx = ln(x + 2) Reorder the terms: 4 + lnx = ln(2 + x) 4 + lnx = (2 * ln + x * ln) 4 + lnx = (2ln + lnx) Add '-1lnx' to each side of the equation. 4 + lnx + -1lnx = 2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4 + 0 = 2ln + lnx + -1lnx 4 = 2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4 = 2ln + 0 4 = 2ln Solving 4 = 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. 4 + -2ln = 2ln + -2ln Combine like terms: 2ln + -2ln = 0 4 + -2ln = 0 Add '-4' to each side of the equation. 4 + -4 + -2ln = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2ln = 0 + -4 -2ln = 0 + -4 Combine like terms: 0 + -4 = -4 -2ln = -4 Divide each side by '-2n'. l = 2n-1 Simplifying l = 2n-1
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