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Simplifying 2(ln(x + 3) + -1ln(x)) + -3 = 0 Reorder the terms: 2(ln(3 + x) + -1ln(x)) + -3 = 0 2((3 * ln + x * ln) + -1ln(x)) + -3 = 0 2((3ln + lnx) + -1ln(x)) + -3 = 0 Multiply ln * x 2(3ln + lnx + -1lnx) + -3 = 0 Combine like terms: lnx + -1lnx = 0 2(3ln + 0) + -3 = 0 2(3ln) + -3 = 0 Remove parenthesis around (3ln) 2 * 3ln + -3 = 0 Multiply 2 * 3 6ln + -3 = 0 Reorder the terms: -3 + 6ln = 0 Solving -3 + 6ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6ln = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6ln = 0 + 3 6ln = 0 + 3 Combine like terms: 0 + 3 = 3 6ln = 3 Divide each side by '6n'. l = 0.5n-1 Simplifying l = 0.5n-1
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