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