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Simplifying 2lnx = ln(2x + 9) + 3 Reorder the terms: 2lnx = ln(9 + 2x) + 3 2lnx = (9 * ln + 2x * ln) + 3 2lnx = (9ln + 2lnx) + 3 Reorder the terms: 2lnx = 3 + 9ln + 2lnx Add '-2lnx' to each side of the equation. 2lnx + -2lnx = 3 + 9ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 3 + 9ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 3 + 9ln + 0 0 = 3 + 9ln Solving 0 = 3 + 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. 0 + -9ln = 3 + 9ln + -9ln Remove the zero: -9ln = 3 + 9ln + -9ln Combine like terms: 9ln + -9ln = 0 -9ln = 3 + 0 -9ln = 3 Divide each side by '-9n'. l = -0.3333333333n-1 Simplifying l = -0.3333333333n-1
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