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Simplifying ln(2x + 4) + -1ln(2x + 1) = 3 Reorder the terms: ln(4 + 2x) + -1ln(2x + 1) = 3 (4 * ln + 2x * ln) + -1ln(2x + 1) = 3 (4ln + 2lnx) + -1ln(2x + 1) = 3 Reorder the terms: 4ln + 2lnx + -1ln(1 + 2x) = 3 4ln + 2lnx + (1 * -1ln + 2x * -1ln) = 3 4ln + 2lnx + (-1ln + -2lnx) = 3 Reorder the terms: 4ln + -1ln + 2lnx + -2lnx = 3 Combine like terms: 4ln + -1ln = 3ln 3ln + 2lnx + -2lnx = 3 Combine like terms: 2lnx + -2lnx = 0 3ln + 0 = 3 3ln = 3 Solving 3ln = 3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '3n'. l = n-1 Simplifying l = n-1
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