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Simplifying ln(x + 6) = 4 + lnx Reorder the terms: ln(6 + x) = 4 + lnx (6 * ln + x * ln) = 4 + lnx (6ln + lnx) = 4 + lnx Add '-1lnx' to each side of the equation. 6ln + lnx + -1lnx = 4 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 6ln + 0 = 4 + lnx + -1lnx 6ln = 4 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 6ln = 4 + 0 6ln = 4 Solving 6ln = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '6n'. l = 0.6666666667n-1 Simplifying l = 0.6666666667n-1
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