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Simplifying ln(2x + 3) + ln(x + -2) = 2.25 Reorder the terms: ln(3 + 2x) + ln(x + -2) = 2.25 (3 * ln + 2x * ln) + ln(x + -2) = 2.25 (3ln + 2lnx) + ln(x + -2) = 2.25 Reorder the terms: 3ln + 2lnx + ln(-2 + x) = 2.25 3ln + 2lnx + (-2 * ln + x * ln) = 2.25 3ln + 2lnx + (-2ln + lnx) = 2.25 Reorder the terms: 3ln + -2ln + 2lnx + lnx = 2.25 Combine like terms: 3ln + -2ln = 1ln 1ln + 2lnx + lnx = 2.25 Combine like terms: 2lnx + lnx = 3lnx 1ln + 3lnx = 2.25 Solving 1ln + 3lnx = 2.25 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -2.25 + 1ln + 3lnx = 2.25 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + 1ln + 3lnx = 0.00 The solution to this equation could not be determined.
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