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Simplifying 3x + -2ln(x) = ln(15) + -1ln(6) Multiply ln * x 3x + -2lnx = ln(15) + -1ln(6) Reorder the terms: -2lnx + 3x = ln(15) + -1ln(6) Reorder the terms for easier multiplication: -2lnx + 3x = 15ln + -1ln(6) Reorder the terms for easier multiplication: -2lnx + 3x = 15ln + -1 * 6ln Multiply -1 * 6 -2lnx + 3x = 15ln + -6ln Combine like terms: 15ln + -6ln = 9ln -2lnx + 3x = 9ln Solving -2lnx + 3x = 9ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9ln' to each side of the equation. -2lnx + -9ln + 3x = 9ln + -9ln Reorder the terms: -9ln + -2lnx + 3x = 9ln + -9ln Combine like terms: 9ln + -9ln = 0 -9ln + -2lnx + 3x = 0 Add '-3x' to each side of the equation. -9ln + -2lnx + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -9ln + -2lnx + 0 = 0 + -3x -9ln + -2lnx = 0 + -3x Remove the zero: -9ln + -2lnx = -3x Combine like terms: -3x + 3x = 0 -9ln + -2lnx + 3x = 0 The solution to this equation could not be determined.
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