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Simplifying ln(x + 2) + -1ln(x + -4) = ln(3) Reorder the terms: ln(2 + x) + -1ln(x + -4) = ln(3) (2 * ln + x * ln) + -1ln(x + -4) = ln(3) (2ln + lnx) + -1ln(x + -4) = ln(3) Reorder the terms: 2ln + lnx + -1ln(-4 + x) = ln(3) 2ln + lnx + (-4 * -1ln + x * -1ln) = ln(3) 2ln + lnx + (4ln + -1lnx) = ln(3) Reorder the terms: 2ln + 4ln + lnx + -1lnx = ln(3) Combine like terms: 2ln + 4ln = 6ln 6ln + lnx + -1lnx = ln(3) Combine like terms: lnx + -1lnx = 0 6ln + 0 = ln(3) 6ln = ln(3) Reorder the terms for easier multiplication: 6ln = 3ln Solving 6ln = 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. 6ln + -3ln = 3ln + -3ln Combine like terms: 6ln + -3ln = 3ln 3ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 3ln = 0 Divide each side by '3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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