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Simplifying ln(x + -4) + ln(x) = 2ln(x + 1) Reorder the terms: ln(-4 + x) + ln(x) = 2ln(x + 1) (-4 * ln + x * ln) + ln(x) = 2ln(x + 1) (-4ln + lnx) + ln(x) = 2ln(x + 1) Multiply ln * x -4ln + lnx + lnx = 2ln(x + 1) Combine like terms: lnx + lnx = 2lnx -4ln + 2lnx = 2ln(x + 1) Reorder the terms: -4ln + 2lnx = 2ln(1 + x) -4ln + 2lnx = (1 * 2ln + x * 2ln) -4ln + 2lnx = (2ln + 2lnx) Add '-2lnx' to each side of the equation. -4ln + 2lnx + -2lnx = 2ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -4ln + 0 = 2ln + 2lnx + -2lnx -4ln = 2ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -4ln = 2ln + 0 -4ln = 2ln Solving -4ln = 2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. -4ln + -2ln = 2ln + -2ln Combine like terms: -4ln + -2ln = -6ln -6ln = 2ln + -2ln Combine like terms: 2ln + -2ln = 0 -6ln = 0 Divide each side by '-6'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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