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Simplifying Ln(3x + 4) + ln(2x + -1) = 5 Reorder the terms: nL(4 + 3x) + ln(2x + -1) = 5 (4 * nL + 3x * nL) + ln(2x + -1) = 5 (4nL + 3nxL) + ln(2x + -1) = 5 Reorder the terms: 4nL + 3nxL + ln(-1 + 2x) = 5 4nL + 3nxL + (-1 * ln + 2x * ln) = 5 4nL + 3nxL + (-1ln + 2lnx) = 5 Reorder the terms: -1ln + 2lnx + 4nL + 3nxL = 5 Solving -1ln + 2lnx + 4nL + 3nxL = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4nL' to each side of the equation. -1ln + 2lnx + 4nL + -4nL + 3nxL = 5 + -4nL Combine like terms: 4nL + -4nL = 0 -1ln + 2lnx + 0 + 3nxL = 5 + -4nL -1ln + 2lnx + 3nxL = 5 + -4nL Add '-3nxL' to each side of the equation. -1ln + 2lnx + 3nxL + -3nxL = 5 + -4nL + -3nxL Combine like terms: 3nxL + -3nxL = 0 -1ln + 2lnx + 0 = 5 + -4nL + -3nxL -1ln + 2lnx = 5 + -4nL + -3nxL Reorder the terms: -5 + -1ln + 2lnx + 4nL + 3nxL = 5 + -4nL + -3nxL + -5 + 4nL + 3nxL Reorder the terms: -5 + -1ln + 2lnx + 4nL + 3nxL = 5 + -5 + -4nL + 4nL + -3nxL + 3nxL Combine like terms: 5 + -5 = 0 -5 + -1ln + 2lnx + 4nL + 3nxL = 0 + -4nL + 4nL + -3nxL + 3nxL -5 + -1ln + 2lnx + 4nL + 3nxL = -4nL + 4nL + -3nxL + 3nxL Combine like terms: -4nL + 4nL = 0 -5 + -1ln + 2lnx + 4nL + 3nxL = 0 + -3nxL + 3nxL -5 + -1ln + 2lnx + 4nL + 3nxL = -3nxL + 3nxL Combine like terms: -3nxL + 3nxL = 0 -5 + -1ln + 2lnx + 4nL + 3nxL = 0 The solution to this equation could not be determined.
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