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Simplifying ln(3x + 5) + ln(2x + -5) = 12 Reorder the terms: ln(5 + 3x) + ln(2x + -5) = 12 (5 * ln + 3x * ln) + ln(2x + -5) = 12 (5ln + 3lnx) + ln(2x + -5) = 12 Reorder the terms: 5ln + 3lnx + ln(-5 + 2x) = 12 5ln + 3lnx + (-5 * ln + 2x * ln) = 12 5ln + 3lnx + (-5ln + 2lnx) = 12 Reorder the terms: 5ln + -5ln + 3lnx + 2lnx = 12 Combine like terms: 5ln + -5ln = 0 0 + 3lnx + 2lnx = 12 3lnx + 2lnx = 12 Combine like terms: 3lnx + 2lnx = 5lnx 5lnx = 12 Solving 5lnx = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '5nx'. l = 2.4n-1x-1 Simplifying l = 2.4n-1x-1
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