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