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Simplifying f(x) = ln(2x) + -1ln(2) Multiply f * x fx = ln(2x) + -1ln(2) Remove parenthesis around (2x) fx = ln * 2x + -1ln(2) Reorder the terms for easier multiplication: fx = 2ln * x + -1ln(2) Multiply ln * x fx = 2lnx + -1ln(2) Reorder the terms for easier multiplication: fx = 2lnx + -1 * 2ln Multiply -1 * 2 fx = 2lnx + -2ln Reorder the terms: fx = -2ln + 2lnx Solving fx = -2ln + 2lnx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -2lnx-1 + 2ln Simplifying f = -2lnx-1 + 2ln Reorder the terms: f = 2ln + -2lnx-1
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