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