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Simplifying ln(3x + 4) + -1ln(2x + 1) = 5 Reorder the terms: ln(4 + 3x) + -1ln(2x + 1) = 5 (4 * ln + 3x * ln) + -1ln(2x + 1) = 5 (4ln + 3lnx) + -1ln(2x + 1) = 5 Reorder the terms: 4ln + 3lnx + -1ln(1 + 2x) = 5 4ln + 3lnx + (1 * -1ln + 2x * -1ln) = 5 4ln + 3lnx + (-1ln + -2lnx) = 5 Reorder the terms: 4ln + -1ln + 3lnx + -2lnx = 5 Combine like terms: 4ln + -1ln = 3ln 3ln + 3lnx + -2lnx = 5 Combine like terms: 3lnx + -2lnx = 1lnx 3ln + 1lnx = 5 Solving 3ln + 1lnx = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -5 + 3ln + 1lnx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 3ln + 1lnx = 0 The solution to this equation could not be determined.
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