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Simplifying f(x) = 5ln(2x) + -4ln(x) Multiply f * x fx = 5ln(2x) + -4ln(x) Remove parenthesis around (2x) fx = 5ln * 2x + -4ln(x) Reorder the terms for easier multiplication: fx = 5 * 2ln * x + -4ln(x) Multiply 5 * 2 fx = 10ln * x + -4ln(x) Multiply ln * x fx = 10lnx + -4ln(x) Multiply ln * x fx = 10lnx + -4lnx Combine like terms: 10lnx + -4lnx = 6lnx fx = 6lnx Solving fx = 6lnx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 6ln Simplifying f = 6ln
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