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