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Simplifying f(x) = ln(5x2 + sqrt(9x4 + 3)) Multiply f * x fx = ln(5x2 + sqrt(9x4 + 3)) Reorder the terms: fx = ln(5x2 + qrst(3 + 9x4)) fx = ln(5x2 + (3 * qrst + 9x4 * qrst)) fx = ln(5x2 + (3qrst + 9qrstx4)) Reorder the terms: fx = ln(3qrst + 9qrstx4 + 5x2) fx = (3qrst * ln + 9qrstx4 * ln + 5x2 * ln) fx = (3lnqrst + 9lnqrstx4 + 5lnx2) Solving fx = 3lnqrst + 9lnqrstx4 + 5lnx2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 3lnqrstx-1 + 9lnqrstx3 + 5lnx Simplifying f = 3lnqrstx-1 + 9lnqrstx3 + 5lnx
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