A logarithm transforms the operations of multiplication and division to addition and subtraction according to the rules formula_1 and formula_2. Moving the top scale to the right by a distance of formula_3, by matching the beginning of the top scale with the label formula_4 on the bottom, aligns each number formula_5, at position formula_6 on the top scale, with the number at position formula_7 on the bottom scale. Because formula_8, this position on the bottom scale gives formula_9, the product of formula_4 and formula_5. For example, to calculate 3 × 2 (represented as 3*2 on a calculator), the 1 on the top scale is moved to the 2 on the bottom scale. The answer, 6, is read off the bottom scale where 3 is on the top scale. In general, the 1 on the top is moved to a factor on the bottom, and the answer is read off the bottom where the other factor is on the top.
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