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Simplifying ln(3x + 1) = (2 + -1lnx) Reorder the terms: ln(1 + 3x) = (2 + -1lnx) (1 * ln + 3x * ln) = (2 + -1lnx) (1ln + 3lnx) = (2 + -1lnx) Remove parenthesis around (2 + -1lnx) 1ln + 3lnx = 2 + -1lnx Solving 1ln + 3lnx = 2 + -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 = 2 + -1lnx + lnx Combine like terms: 3lnx + lnx = 4lnx 1ln + 4lnx = 2 + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 1ln + 4lnx = 2 + 0 1ln + 4lnx = 2 Reorder the terms: -2 + 1ln + 4lnx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 1ln + 4lnx = 0 The solution to this equation could not be determined.
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