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