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Simplifying ln(X) + 3 = ln(X + 4) Multiply ln * X lnX + 3 = ln(X + 4) Reorder the terms: 3 + lnX = ln(X + 4) Reorder the terms: 3 + lnX = ln(4 + X) 3 + lnX = (4 * ln + X * ln) 3 + lnX = (4ln + lnX) Add '-1lnX' to each side of the equation. 3 + lnX + -1lnX = 4ln + lnX + -1lnX Combine like terms: lnX + -1lnX = 0 3 + 0 = 4ln + lnX + -1lnX 3 = 4ln + lnX + -1lnX Combine like terms: lnX + -1lnX = 0 3 = 4ln + 0 3 = 4ln Solving 3 = 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. 3 + -4ln = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 3 + -4ln = 0 Add '-3' to each side of the equation. 3 + -3 + -4ln = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4ln = 0 + -3 -4ln = 0 + -3 Combine like terms: 0 + -3 = -3 -4ln = -3 Divide each side by '-4n'. l = 0.75n-1 Simplifying l = 0.75n-1
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