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Simplifying ln(x) + ln(x + 12) = 2ln(x + -3) Multiply ln * x lnx + ln(x + 12) = 2ln(x + -3) Reorder the terms: lnx + ln(12 + x) = 2ln(x + -3) lnx + (12 * ln + x * ln) = 2ln(x + -3) lnx + (12ln + lnx) = 2ln(x + -3) Reorder the terms: 12ln + lnx + lnx = 2ln(x + -3) Combine like terms: lnx + lnx = 2lnx 12ln + 2lnx = 2ln(x + -3) Reorder the terms: 12ln + 2lnx = 2ln(-3 + x) 12ln + 2lnx = (-3 * 2ln + x * 2ln) 12ln + 2lnx = (-6ln + 2lnx) Add '-2lnx' to each side of the equation. 12ln + 2lnx + -2lnx = -6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 12ln + 0 = -6ln + 2lnx + -2lnx 12ln = -6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 12ln = -6ln + 0 12ln = -6ln Solving 12ln = -6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6ln' to each side of the equation. 12ln + 6ln = -6ln + 6ln Combine like terms: 12ln + 6ln = 18ln 18ln = -6ln + 6ln Combine like terms: -6ln + 6ln = 0 18ln = 0 Divide each side by '18'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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