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Simplifying ln(10) = 6ln(2) + 10ln(5) + 4ln(4) Reorder the terms for easier multiplication: 10ln = 6ln(2) + 10ln(5) + 4ln(4) Reorder the terms for easier multiplication: 10ln = 6 * 2ln + 10ln(5) + 4ln(4) Multiply 6 * 2 10ln = 12ln + 10ln(5) + 4ln(4) Reorder the terms for easier multiplication: 10ln = 12ln + 10 * 5ln + 4ln(4) Multiply 10 * 5 10ln = 12ln + 50ln + 4ln(4) Reorder the terms for easier multiplication: 10ln = 12ln + 50ln + 4 * 4ln Multiply 4 * 4 10ln = 12ln + 50ln + 16ln Combine like terms: 12ln + 50ln = 62ln 10ln = 62ln + 16ln Combine like terms: 62ln + 16ln = 78ln 10ln = 78ln Solving 10ln = 78ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-78ln' to each side of the equation. 10ln + -78ln = 78ln + -78ln Combine like terms: 10ln + -78ln = -68ln -68ln = 78ln + -78ln Combine like terms: 78ln + -78ln = 0 -68ln = 0 Divide each side by '-68'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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