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