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Simplifying ln(0.1) + 2ln(x) + -1ln(2) = ln(5) Reorder the terms for easier multiplication: 0.1ln + 2ln(x) + -1ln(2) = ln(5) Multiply ln * x 0.1ln + 2lnx + -1ln(2) = ln(5) Reorder the terms for easier multiplication: 0.1ln + 2lnx + -1 * 2ln = ln(5) Multiply -1 * 2 0.1ln + 2lnx + -2ln = ln(5) Reorder the terms: 0.1ln + -2ln + 2lnx = ln(5) Combine like terms: 0.1ln + -2ln = -1.9ln -1.9ln + 2lnx = ln(5) Reorder the terms for easier multiplication: -1.9ln + 2lnx = 5ln Solving -1.9ln + 2lnx = 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. -1.9ln + -5ln + 2lnx = 5ln + -5ln Combine like terms: -1.9ln + -5ln = -6.9ln -6.9ln + 2lnx = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 -6.9ln + 2lnx = 0 The solution to this equation could not be determined.
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