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Simplifying f(x) = log(x + -2) + log(x) + -1log(8) Multiply f * x fx = log(x + -2) + log(x) + -1log(8) Reorder the terms: fx = glo(-2 + x) + log(x) + -1log(8) fx = (-2 * glo + x * glo) + log(x) + -1log(8) fx = (-2glo + glox) + log(x) + -1log(8) Multiply glo * x fx = -2glo + glox + glox + -1log(8) Reorder the terms for easier multiplication: fx = -2glo + glox + glox + -1 * 8glo Multiply -1 * 8 fx = -2glo + glox + glox + -8glo Reorder the terms: fx = -2glo + -8glo + glox + glox Combine like terms: -2glo + -8glo = -10glo fx = -10glo + glox + glox Combine like terms: glox + glox = 2glox fx = -10glo + 2glox Solving fx = -10glo + 2glox Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -10glox-1 + 2glo Simplifying f = -10glox-1 + 2glo Reorder the terms: f = 2glo + -10glox-1
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