| Thomas Keith - 1822 - 332 páginas
...their difference, will give the less number. 7. The quotient, arising from tlie division of tbe sum **of two, or more, numbers, is equal to the sum of the** quotients arising from tha division of the parts, separately, by the iame divisor. „ 8. If any two... | |
| John Hopkins Harney - 1840 - 288 páginas
...immediately seen. This can often be done by re-solving the number into two or more factors, for the root **of the product of two or more numbers is equal to the** product of the roots of those numbers. It is required to find the second root of 196. 4 X 49 = 196.... | |
| William Vogdes - 1847 - 256 páginas
...half their difference, will give the less number. The quotient, arising from the division of the sum **of two, or more numbers, is equal to the sum of the** quotients arising from the division of each number separately, by the same divisor. If any two numbers... | |
| Olinthus Gilbert Gregory - 1848 - 80 páginas
...for multiplying powers, (page 50,) r1 x r'' = r1 * '> = N x N, ; and NN, . Ns =r' + 'i + '». Or tfte **logarithm of the product of two or more numbers, is equal to the sum of the** logaritltms of those numbers; and conversely, the logarithm of the quotient of ttco numbers, is equal... | |
| William Vogdes - 1849
...half their difference, will give the less number. The quotient, arising from the division of the sum **of two, or more numbers, is equal to the sum of the** quotients arising from the division of each number separately, by the same divisor. If any two numbers... | |
| John Bonnycastle - 1851
...their difference, will give the less number. 2. The quotient, arising from the division of the sum **of two or more numbers, is equal to the sum of the** quotients arising from the division of the parts, separately, by the same divisor. the question ; then,... | |
| William Templeton - 1852
...half their difference, will give the less number. 2. The quotient arising from the division of the sum **of two or more numbers, is equal to the sum of the** quotients arising from the division of the parts separately, by the same divisor. 3. Any three of the... | |
| James B. Dodd - 1859 - 306 páginas
...0 is the logarithm of 1, and in the second, 1 is the logarithm of a. Logarithm of a Product. (308.) **The Logarithm of the product of two or more numbers,...equal to the sum of the logarithms of those numbers.** In the equations ax=n and av=m, the exponents, x and y, are the logarithms of' n and m, for the base... | |
| John Fair Stoddard, William Downs Henkle - 1859 - 528 páginas
...and when a<l, we have «"=0. PROPOSITION 4. (481.) In every system, the logarithm of the continued **product of two or more numbers is equal to the sum of the** logarithm of tht numbers, since when a'—u and a'=z, we have a'+"=«2. P RO POSITION 5. (482.) In... | |
| William Henry Johnstone - 1859
...value of a. Hence loga a = l, and Iog0l = 0. 5. ln any system, the logarithm of the product of any **numbers is equal to the sum of the logarithms of those numbers.** Let ax=m, a° = n, a'=p,&c. or x = logam, у = log, n, z = logap, &c. then mxn xp x &c. — a" x as... | |
| |