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