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Simplifying f(x) = (8x) * ln(6x) + -1(8x) Multiply f * x fx = (8x) * ln(6x) + -1(8x) Remove parenthesis around (8x) fx = 8x * ln(6x) + -1(8x) Remove parenthesis around (6x) fx = 8x * ln * 6x + -1(8x) Reorder the terms for easier multiplication: fx = 8 * 6x * ln * x + -1(8x) Multiply 8 * 6 fx = 48x * ln * x + -1(8x) Multiply x * ln fx = 48lnx * x + -1(8x) Multiply lnx * x fx = 48lnx2 + -1(8x) Remove parenthesis around (8x) fx = 48lnx2 + -1 * 8x Multiply -1 * 8 fx = 48lnx2 + -8x Solving fx = 48lnx2 + -8x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 48lnx + -8 Simplifying f = 48lnx + -8 Reorder the terms: f = -8 + 48lnx
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