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