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