 | Isaac Newton - 1745 - 524 lapas
...the Logarithm of the compounded Ratio, and the reft eafily follows. Whence it follows that the Sum of the Logarithms of two Numbers is equal to the Logarithm of their Product, and the Difference of the Logarithms of two Numbers is the Logarithm of their Quotient,... | |
 | William Trail - 1796 - 334 lapas
...the fum of the logarithms of • b and f, is therefore, by the definition, the logarithm of 4f- ,' , 4. The difference of the logarithms of two numbers is equal to the logarithm of their quotient For, if am-='b, and a"=c, f_=— , that is, am— "—— • m — n^ or the a" cc... | |
 | 1816 - 746 lapas
...logarithms,^ X log. io = log. i'7i8»8i8, § 41 : Hence log, io XA = . XA is the logarithm of-; that is, the difference of the logarithms of two numbers is equal to the logarithm of their quotient. If we refume the equation r * =sa,vre have 1 A ' } I r —a*, therefore n A is the... | |
 | Bézout - 1825 - 258 lapas
...of the logarithm of a number shows in what decade this number is comprised, number 222. 91. The sum of the logarithms of two numbers is equal to the logarithm of their product, number 227. 92. The logarithm of any power of a number is equal to the logarithm of... | |
 | Peter Nicholson - 1825 - 1046 lapas
...equal to the logarithms of the product of these numbers ; 2d. The difference of the logarithms of tw о numbers is equal to the logarithm of the quotient of these numbers ; 3d. The logarithm of any power of a number is equal lo the logarithm of the root multiplied by the... | |
 | Thomas Curtis (of Grove house sch, Islington) - 412 lapas
...table opposite to that logarithm which is the sum of the logarithms of ihe numbers. Again, because the difference of the logarithms of two numbers is equal to the logarithm of tlie quotient arising from the division of the one number by the other, § 4, that quotient will be... | |
 | Silas Totten - 1836 - 320 lapas
...subtracting the exponent x from x, we have, а'-" =У or1.yl.y' =1Д; У У from which we see, that the difference of the logarithms of two numbers, is equal to the logarithm of their quotient. Hence, division is performed in logarithms by subtracting the logarithm of the divisor... | |
 | Euclid, James Thomson - 1837 - 410 lapas
...logarithms, which are called logarithmic sines, tangents, &c.* By the nature of logarithms, the sum of the logarithms of two numbers is equal to the logarithm of their product; and, conversely, if the logarithm of one number be taken from the logarithm of another,... | |
 | Euclid, James Thomson - 1845 - 382 lapas
...logarithms, which are called logarithmic sines, tangents, &c.* By the nature of logarithms, the sum of the logarithms of two numbers is equal to the logarithm of their product ; and, conTersely, if the logarithm of one number be taken from the logarithm of another,... | |
 | Joseph Ray - 1852 - 408 lapas
...logarithms, x-\-x', the exponent of a, is the logarithm of NN' ; hence, we have PROPERTY I. — The sum of the logarithms of two numbers is equal to the logarithm of their product. It may be shown similarly that the sum of the logarithms of three or more factors, is... | |
| |
Y, and x+y is the sum of their logarithms; from which it follows that the sum of the logarithms of two numbers is equal to the logarithm of their product. Hence, To multiply two or more numbers by using logarithms: Rule. 
