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Simplifying ln(x + -5) = ln(x + 4) + -1ln(2) Reorder the terms: ln(-5 + x) = ln(x + 4) + -1ln(2) (-5 * ln + x * ln) = ln(x + 4) + -1ln(2) (-5ln + lnx) = ln(x + 4) + -1ln(2) Reorder the terms: -5ln + lnx = ln(4 + x) + -1ln(2) -5ln + lnx = (4 * ln + x * ln) + -1ln(2) -5ln + lnx = (4ln + lnx) + -1ln(2) Reorder the terms for easier multiplication: -5ln + lnx = 4ln + lnx + -1 * 2ln Multiply -1 * 2 -5ln + lnx = 4ln + lnx + -2ln Reorder the terms: -5ln + lnx = 4ln + -2ln + lnx Combine like terms: 4ln + -2ln = 2ln -5ln + lnx = 2ln + lnx Add '-1lnx' to each side of the equation. -5ln + lnx + -1lnx = 2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -5ln + 0 = 2ln + lnx + -1lnx -5ln = 2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -5ln = 2ln + 0 -5ln = 2ln Solving -5ln = 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. -5ln + -2ln = 2ln + -2ln Combine like terms: -5ln + -2ln = -7ln -7ln = 2ln + -2ln Combine like terms: 2ln + -2ln = 0 -7ln = 0 Divide each side by '-7'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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