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Simplifying ln(x + 11) + -1ln(x + 3) = ln(3) Reorder the terms: ln(11 + x) + -1ln(x + 3) = ln(3) (11 * ln + x * ln) + -1ln(x + 3) = ln(3) (11ln + lnx) + -1ln(x + 3) = ln(3) Reorder the terms: 11ln + lnx + -1ln(3 + x) = ln(3) 11ln + lnx + (3 * -1ln + x * -1ln) = ln(3) 11ln + lnx + (-3ln + -1lnx) = ln(3) Reorder the terms: 11ln + -3ln + lnx + -1lnx = ln(3) Combine like terms: 11ln + -3ln = 8ln 8ln + lnx + -1lnx = ln(3) Combine like terms: lnx + -1lnx = 0 8ln + 0 = ln(3) 8ln = ln(3) Reorder the terms for easier multiplication: 8ln = 3ln Solving 8ln = 3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. 8ln + -3ln = 3ln + -3ln Combine like terms: 8ln + -3ln = 5ln 5ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 5ln = 0 Divide each side by '5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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