| Ernst Rudolph Breslich - 1917 - 408 páginas
....=am-n Why? M = m and loga N = n • Then M = am and N =an M N' lOSa(^)=mn Why? = logaAf— loga N Hence the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. For example, log |- = log 8— log 3... | |
| George Neander Bauer, William Ellsworth Brooke - 1917 - 346 páginas
...This law enables us to replace multiplication by addition with the aid of a table of logarithms. (b) The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. From (1) and (2) above we have, applying... | |
| Arthur Sullivan Gale, Charles William Watkeys - 1920 - 464 páginas
...whence Iog6 q = n. Then pq = bmbn = 6m+n. Therefore log6 pq = m + n why? = log6 p + logi, q. 8. Theorem. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Let p = bm and q = bn, whence log6 p... | |
| Walter Gustav Borchardt - 1921 - 260 páginas
...+ i' .-. log mn = x + y = log m + log n. Similarly log mnp = log m + log n + log p. Theorem II. — The logarithm of the quotient of two numbers is equal to the difference of the logarithms of the numbers. Let log m = x .-. m = lCP log n = yn=10» • ™-!2!=lOx-<" n 10" .•.... | |
| James Atkins Bullard, Arthur Kiernan - 1922 - 252 páginas
...at a time. Thus, the logarithm of a product is the sum of the logarithms of the several factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the numerator minus the logarithm of the denominator. Let us use the same numbers as in... | |
| 1926 - 890 páginas
...calculation: 1. The logarithm of a product is equal to the sum of the logarithms of its factors. 2. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend less the logarithm of the divisor. 3. The logarithm of a number affected... | |
| W. G. Borchardt, A. D. Perrott - 1928 - 492 páginas
...extended to the product of any number of factors, thus log (mnp) = log m + log n + log p. 57. Theorem II. The logarithm of the quotient of two numbers is equal to the difference of the logarithms of the numbers. Let logro = x .'. m = 10*, log n = y .'. n = 10", 10» = log т —... | |
| Paul Carus - 1914 - 876 páginas
...that the logarithm of the product of numbers is equal to the sum of the logarithms of those numbers, the logarithm of the quotient of two numbers is equal to the logarithm of the numerator diminished by the logarithm of the denominator, the logarithm of a power... | |
| 1992 - 270 páginas
...5 ~ 1 5« = 3 x = .6 antilog 1.9403 = 87.16 2.11 X 41.3 = 87.16 1 22. Division by Use of Logarithms The logarithm of the quotient of two numbers is equal to the difference between the logarithms of the numbers. Thus, log (75 -=- 83) = log 75 — log 83, and log (8 ч- 2)... | |
| H. Craig Davis - 1995 - 132 páginas
...logarithms, manipulating a calculator capable of computing natural logarithms, or using a computer. 2. The logarithm of the quotient of two numbers is equal to the logarithm of the numerator minus the logarithm of the denominator. /n(a/6) = ln a - ln b (a, 6 > 0)... | |
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