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Simplifying ln(x + -3) + ln(x + -5) = 2ln(x) Reorder the terms: ln(-3 + x) + ln(x + -5) = 2ln(x) (-3 * ln + x * ln) + ln(x + -5) = 2ln(x) (-3ln + lnx) + ln(x + -5) = 2ln(x) Reorder the terms: -3ln + lnx + ln(-5 + x) = 2ln(x) -3ln + lnx + (-5 * ln + x * ln) = 2ln(x) -3ln + lnx + (-5ln + lnx) = 2ln(x) Reorder the terms: -3ln + -5ln + lnx + lnx = 2ln(x) Combine like terms: -3ln + -5ln = -8ln -8ln + lnx + lnx = 2ln(x) Combine like terms: lnx + lnx = 2lnx -8ln + 2lnx = 2ln(x) Multiply ln * x -8ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. -8ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -8ln + 0 = 2lnx + -2lnx -8ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -8ln = 0 Solving -8ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-8'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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