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Simplifying ln(x) + ln(x + 9) + -2ln(x + 3) = 0 Multiply ln * x lnx + ln(x + 9) + -2ln(x + 3) = 0 Reorder the terms: lnx + ln(9 + x) + -2ln(x + 3) = 0 lnx + (9 * ln + x * ln) + -2ln(x + 3) = 0 lnx + (9ln + lnx) + -2ln(x + 3) = 0 Reorder the terms: lnx + 9ln + lnx + -2ln(3 + x) = 0 lnx + 9ln + lnx + (3 * -2ln + x * -2ln) = 0 lnx + 9ln + lnx + (-6ln + -2lnx) = 0 Reorder the terms: 9ln + -6ln + lnx + lnx + -2lnx = 0 Combine like terms: 9ln + -6ln = 3ln 3ln + lnx + lnx + -2lnx = 0 Combine like terms: lnx + lnx = 2lnx 3ln + 2lnx + -2lnx = 0 Combine like terms: 2lnx + -2lnx = 0 3ln + 0 = 0 3ln = 0 Solving 3ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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