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