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Simplifying ln(x + 5) + -1ln(3) = ln(x + -3) Reorder the terms: ln(5 + x) + -1ln(3) = ln(x + -3) (5 * ln + x * ln) + -1ln(3) = ln(x + -3) (5ln + lnx) + -1ln(3) = ln(x + -3) Reorder the terms for easier multiplication: 5ln + lnx + -1 * 3ln = ln(x + -3) Multiply -1 * 3 5ln + lnx + -3ln = ln(x + -3) Reorder the terms: 5ln + -3ln + lnx = ln(x + -3) Combine like terms: 5ln + -3ln = 2ln 2ln + lnx = ln(x + -3) Reorder the terms: 2ln + lnx = ln(-3 + x) 2ln + lnx = (-3 * ln + x * ln) 2ln + lnx = (-3ln + lnx) Add '-1lnx' to each side of the equation. 2ln + lnx + -1lnx = -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln + 0 = -3ln + lnx + -1lnx 2ln = -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln = -3ln + 0 2ln = -3ln Solving 2ln = -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. 2ln + 3ln = -3ln + 3ln Combine like terms: 2ln + 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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