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Simplifying f(x) = ln(x) + ln(3 + -1x) Multiply f * x fx = ln(x) + ln(3 + -1x) Multiply ln * x fx = lnx + ln(3 + -1x) fx = lnx + (3 * ln + -1x * ln) fx = lnx + (3ln + -1lnx) Reorder the terms: fx = 3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 fx = 3ln + 0 fx = 3ln Solving fx = 3ln Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 3lnx-1 Simplifying f = 3lnx-1
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