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Simplifying ln(x + 1) + ln(x + -1) = 8 Reorder the terms: ln(1 + x) + ln(x + -1) = 8 (1 * ln + x * ln) + ln(x + -1) = 8 (1ln + lnx) + ln(x + -1) = 8 Reorder the terms: 1ln + lnx + ln(-1 + x) = 8 1ln + lnx + (-1 * ln + x * ln) = 8 1ln + lnx + (-1ln + lnx) = 8 Reorder the terms: 1ln + -1ln + lnx + lnx = 8 Combine like terms: 1ln + -1ln = 0 0 + lnx + lnx = 8 lnx + lnx = 8 Combine like terms: lnx + lnx = 2lnx 2lnx = 8 Solving 2lnx = 8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '2nx'. l = 4n-1x-1 Simplifying l = 4n-1x-1
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