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Simplifying ln(5) + ln(x + -1) = ln(x + -1) Reorder the terms for easier multiplication: 5ln + ln(x + -1) = ln(x + -1) Reorder the terms: 5ln + ln(-1 + x) = ln(x + -1) 5ln + (-1 * ln + x * ln) = ln(x + -1) 5ln + (-1ln + lnx) = ln(x + -1) Combine like terms: 5ln + -1ln = 4ln 4ln + lnx = ln(x + -1) Reorder the terms: 4ln + lnx = ln(-1 + x) 4ln + lnx = (-1 * ln + x * ln) 4ln + lnx = (-1ln + lnx) Add '-1lnx' to each side of the equation. 4ln + lnx + -1lnx = -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4ln + 0 = -1ln + lnx + -1lnx 4ln = -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4ln = -1ln + 0 4ln = -1ln Solving 4ln = -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. 4ln + ln = -1ln + ln Combine like terms: 4ln + ln = 5ln 5ln = -1ln + ln Combine like terms: -1ln + ln = 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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