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Simplifying f(x) = log(2x + 3) + log(3 + 2x) Multiply f * x fx = log(2x + 3) + log(3 + 2x) Reorder the terms: fx = glo(3 + 2x) + log(3 + 2x) fx = (3 * glo + 2x * glo) + log(3 + 2x) fx = (3glo + 2glox) + log(3 + 2x) fx = 3glo + 2glox + (3 * glo + 2x * glo) fx = 3glo + 2glox + (3glo + 2glox) Reorder the terms: fx = 3glo + 3glo + 2glox + 2glox Combine like terms: 3glo + 3glo = 6glo fx = 6glo + 2glox + 2glox Combine like terms: 2glox + 2glox = 4glox fx = 6glo + 4glox Solving fx = 6glo + 4glox Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 6glox-1 + 4glo Simplifying f = 6glox-1 + 4glo Reorder the terms: f = 4glo + 6glox-1
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