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Simplifying 2lnx + -1ln(x + -2) = ln(x + 5) Reorder the terms: 2lnx + -1ln(-2 + x) = ln(x + 5) 2lnx + (-2 * -1ln + x * -1ln) = ln(x + 5) 2lnx + (2ln + -1lnx) = ln(x + 5) Reorder the terms: 2ln + 2lnx + -1lnx = ln(x + 5) Combine like terms: 2lnx + -1lnx = 1lnx 2ln + 1lnx = ln(x + 5) Reorder the terms: 2ln + 1lnx = ln(5 + x) 2ln + 1lnx = (5 * ln + x * ln) 2ln + 1lnx = (5ln + lnx) Solving 2ln + 1lnx = 5ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 2ln + -5ln + 1lnx = 5ln + -5ln + lnx Combine like terms: 2ln + -5ln = -3ln -3ln + 1lnx = 5ln + -5ln + lnx Combine like terms: 5ln + -5ln = 0 -3ln + 1lnx = 0 + lnx -3ln + 1lnx = lnx Add '-1lnx' to each side of the equation. -3ln + 1lnx + -1lnx = lnx + -1lnx Combine like terms: 1lnx + -1lnx = 0 -3ln + 0 = lnx + -1lnx -3ln = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -3ln = 0 Divide each side by '-3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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