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Simplifying ln(9x + 5) = 2 + ln(x2 + -1) Reorder the terms: ln(5 + 9x) = 2 + ln(x2 + -1) (5 * ln + 9x * ln) = 2 + ln(x2 + -1) (5ln + 9lnx) = 2 + ln(x2 + -1) Reorder the terms: 5ln + 9lnx = 2 + ln(-1 + x2) 5ln + 9lnx = 2 + (-1 * ln + x2 * ln) 5ln + 9lnx = 2 + (-1ln + lnx2) Solving 5ln + 9lnx = 2 + -1ln + lnx2 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. 5ln + ln + 9lnx = 2 + -1ln + ln + lnx2 Combine like terms: 5ln + ln = 6ln 6ln + 9lnx = 2 + -1ln + ln + lnx2 Combine like terms: -1ln + ln = 0 6ln + 9lnx = 2 + 0 + lnx2 6ln + 9lnx = 2 + lnx2 Add '-1lnx2' to each side of the equation. 6ln + 9lnx + -1lnx2 = 2 + lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 6ln + 9lnx + -1lnx2 = 2 + 0 6ln + 9lnx + -1lnx2 = 2 Reorder the terms: -2 + 6ln + 9lnx + -1lnx2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 6ln + 9lnx + -1lnx2 = 0 The solution to this equation could not be determined.
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