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Simplifying lnx + ln(x + 2) = ln(2x + 3) Reorder the terms: lnx + ln(2 + x) = ln(2x + 3) lnx + (2 * ln + x * ln) = ln(2x + 3) lnx + (2ln + lnx) = ln(2x + 3) Reorder the terms: 2ln + lnx + lnx = ln(2x + 3) Combine like terms: lnx + lnx = 2lnx 2ln + 2lnx = ln(2x + 3) Reorder the terms: 2ln + 2lnx = ln(3 + 2x) 2ln + 2lnx = (3 * ln + 2x * ln) 2ln + 2lnx = (3ln + 2lnx) Add '-2lnx' to each side of the equation. 2ln + 2lnx + -2lnx = 3ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 2ln + 0 = 3ln + 2lnx + -2lnx 2ln = 3ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 2ln = 3ln + 0 2ln = 3ln Solving 2ln = 3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. 2ln + -3ln = 3ln + -3ln Combine like terms: 2ln + -3ln = -1ln -1ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 -1ln = 0 Divide each side by '-1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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