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