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" ... 1.84148. 31. To find the. logarithm of a VULGAR FRACTION. From the nature of a vulgar fraction, the numerator may be considered as a dividend, and the denominator as a divisor; in other words, the value of the fraction is equal to the quotient, of... "
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... - Página 18
por Jeremiah Day - 1848 - 153 páginas
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 440 páginas
...The difference of these logarithms is 4, which is the logarithm of 16, the quotient required. Hence the difference of the logarithms of two numbers is the logarithm of their quotient. 2. Required the third power of 32. The logarithm of 32 is 5. Multiply this by 3, the...
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Elements of Algebra

James Haddon - 1871 - 244 páginas
...being the base, a* = n, a' = n'; .'. a* a* = n»', or a**» = nn'. And similarly for more numbers. 2. The difference of the logarithms of two numbers is the logarithm of their quotient. a' nn For a* = n, a? = n' ; .-. — = —„ or <?-" = —. ay nn 3. The logarithm...
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Algebra

C R. Lupton - 1879 - 194 páginas
...Division. 206. The sum of the logarithms of any two numbers is the logarithm of their product, and the difference of the logarithms of two numbers is the logarithm of their quotient. Let ax = n and a« =p Then and a*-»=* P от x + y is the log of np to the base a....
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Differential and Integral Calculus for Technical Schools and Colleges

Preston Albert Lambert - 1898 - 268 páginas
...м у Дм Ai: д» Дм Дм = log„e — when limit Дж = 0. U For by the nature of logarithms the difference of the logarithms of two numbers is the logarithm of the quotient of the numbers, and the logarithm of a number affected by an exponent is the exponent times the logarithm...
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Industrial Engineering: A Handbook of Useful Information for ..., Volumen1

William Miller Barr - 1918 - 650 páginas
...of the product of those numbers; and since logarithms are the indices of powers of the same basis, the difference of the logarithms of two numbers is the logarithm of the quotient; also the multiple of the logarithm of a number is the logarithm of the power of that number, and a...
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Biology Problem Solver

Research & Education Association Editors - 2013 - 1084 páginas
...rearranging, log N - log Nn -,-,/•, „, , „. , n = — ~ - -- -- = 3.3 (1og N - log No). Since the difference of the logarithms of two numbers is the logarithm of the quotient of the two numbers, ., ., , N n = 3'3 1Q9 NT The generation time G is simply equal to the time elapsed...
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Lectures on Partial Differential Equations

Vladimir I. Arnold - 2003 - 180 páginas
...lines of the potential of a pair of oppositely signed charges of equal magnitude on the plane. HINT. The difference of the logarithms of two numbers is the logarithm of their ratio. The geometric locus of the points whose distances to two given points are in constant...
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