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Simplifying 2ln(x) + -1ln(x + -4) = ln(x + 1) Multiply ln * x 2lnx + -1ln(x + -4) = ln(x + 1) Reorder the terms: 2lnx + -1ln(-4 + x) = ln(x + 1) 2lnx + (-4 * -1ln + x * -1ln) = ln(x + 1) 2lnx + (4ln + -1lnx) = ln(x + 1) Reorder the terms: 4ln + 2lnx + -1lnx = ln(x + 1) Combine like terms: 2lnx + -1lnx = 1lnx 4ln + 1lnx = ln(x + 1) Reorder the terms: 4ln + 1lnx = ln(1 + x) 4ln + 1lnx = (1 * ln + x * ln) 4ln + 1lnx = (1ln + lnx) Solving 4ln + 1lnx = 1ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 4ln + -1ln + 1lnx = 1ln + -1ln + lnx Combine like terms: 4ln + -1ln = 3ln 3ln + 1lnx = 1ln + -1ln + lnx Combine like terms: 1ln + -1ln = 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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