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Simplifying ln(6 + -1x) = ln(5) + -1ln(x) (6 * ln + -1x * ln) = ln(5) + -1ln(x) (6ln + -1lnx) = ln(5) + -1ln(x) Reorder the terms for easier multiplication: 6ln + -1lnx = 5ln + -1ln(x) Multiply ln * x 6ln + -1lnx = 5ln + -1lnx Add 'lnx' to each side of the equation. 6ln + -1lnx + lnx = 5ln + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 6ln + 0 = 5ln + -1lnx + lnx 6ln = 5ln + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 6ln = 5ln + 0 6ln = 5ln Solving 6ln = 5ln 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. 6ln + -5ln = 5ln + -5ln Combine like terms: 6ln + -5ln = 1ln 1ln = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 1ln = 0 Divide each side by '1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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