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