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Simplifying ln(x + 3) + -1ln(x) = 2ln(6) Reorder the terms: ln(3 + x) + -1ln(x) = 2ln(6) (3 * ln + x * ln) + -1ln(x) = 2ln(6) (3ln + lnx) + -1ln(x) = 2ln(6) Multiply ln * x 3ln + lnx + -1lnx = 2ln(6) Combine like terms: lnx + -1lnx = 0 3ln + 0 = 2ln(6) 3ln = 2ln(6) Reorder the terms for easier multiplication: 3ln = 2 * 6ln Multiply 2 * 6 3ln = 12ln Solving 3ln = 12ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12ln' to each side of the equation. 3ln + -12ln = 12ln + -12ln Combine like terms: 3ln + -12ln = -9ln -9ln = 12ln + -12ln Combine like terms: 12ln + -12ln = 0 -9ln = 0 Divide each side by '-9'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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