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Simplifying ln(x + 16) + -1ln(x) = 2ln(3) Reorder the terms: ln(16 + x) + -1ln(x) = 2ln(3) (16 * ln + x * ln) + -1ln(x) = 2ln(3) (16ln + lnx) + -1ln(x) = 2ln(3) Multiply ln * x 16ln + lnx + -1lnx = 2ln(3) Combine like terms: lnx + -1lnx = 0 16ln + 0 = 2ln(3) 16ln = 2ln(3) Reorder the terms for easier multiplication: 16ln = 2 * 3ln Multiply 2 * 3 16ln = 6ln Solving 16ln = 6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 16ln + -6ln = 6ln + -6ln Combine like terms: 16ln + -6ln = 10ln 10ln = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 10ln = 0 Divide each side by '10'. ln = 0.0 Simplifying ln = 0.0 The solution to this equation could not be determined.
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