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Simplifying ln(x + -1) + -1ln(x + 3) = ln(11) Reorder the terms: ln(-1 + x) + -1ln(x + 3) = ln(11) (-1 * ln + x * ln) + -1ln(x + 3) = ln(11) (-1ln + lnx) + -1ln(x + 3) = ln(11) Reorder the terms: -1ln + lnx + -1ln(3 + x) = ln(11) -1ln + lnx + (3 * -1ln + x * -1ln) = ln(11) -1ln + lnx + (-3ln + -1lnx) = ln(11) Reorder the terms: -1ln + -3ln + lnx + -1lnx = ln(11) Combine like terms: -1ln + -3ln = -4ln -4ln + lnx + -1lnx = ln(11) Combine like terms: lnx + -1lnx = 0 -4ln + 0 = ln(11) -4ln = ln(11) Reorder the terms for easier multiplication: -4ln = 11ln Solving -4ln = 11ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-11ln' to each side of the equation. -4ln + -11ln = 11ln + -11ln Combine like terms: -4ln + -11ln = -15ln -15ln = 11ln + -11ln Combine like terms: 11ln + -11ln = 0 -15ln = 0 Divide each side by '-15'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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