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Simplifying ln(x + 5) = ln(x) + -1ln(4) Reorder the terms: ln(5 + x) = ln(x) + -1ln(4) (5 * ln + x * ln) = ln(x) + -1ln(4) (5ln + lnx) = ln(x) + -1ln(4) Multiply ln * x 5ln + lnx = lnx + -1ln(4) Reorder the terms for easier multiplication: 5ln + lnx = lnx + -1 * 4ln Multiply -1 * 4 5ln + lnx = lnx + -4ln Reorder the terms: 5ln + lnx = -4ln + lnx Add '-1lnx' to each side of the equation. 5ln + lnx + -1lnx = -4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 5ln + 0 = -4ln + lnx + -1lnx 5ln = -4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 5ln = -4ln + 0 5ln = -4ln Solving 5ln = -4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4ln' to each side of the equation. 5ln + 4ln = -4ln + 4ln Combine like terms: 5ln + 4ln = 9ln 9ln = -4ln + 4ln Combine like terms: -4ln + 4ln = 0 9ln = 0 Divide each side by '9'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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