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Simplifying ln(x + 2) = ln(x + -4) + ln(3) Reorder the terms: ln(2 + x) = ln(x + -4) + ln(3) (2 * ln + x * ln) = ln(x + -4) + ln(3) (2ln + lnx) = ln(x + -4) + ln(3) Reorder the terms: 2ln + lnx = ln(-4 + x) + ln(3) 2ln + lnx = (-4 * ln + x * ln) + ln(3) 2ln + lnx = (-4ln + lnx) + ln(3) Reorder the terms for easier multiplication: 2ln + lnx = -4ln + lnx + 3ln Reorder the terms: 2ln + lnx = -4ln + 3ln + lnx Combine like terms: -4ln + 3ln = -1ln 2ln + lnx = -1ln + lnx Add '-1lnx' to each side of the equation. 2ln + lnx + -1lnx = -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln + 0 = -1ln + lnx + -1lnx 2ln = -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln = -1ln + 0 2ln = -1ln Solving 2ln = -1ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'ln' to each side of the equation. 2ln + ln = -1ln + ln Combine like terms: 2ln + ln = 3ln 3ln = -1ln + ln Combine like terms: -1ln + ln = 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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