 | Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...cologio 3.1623. 3-1623 = log = log M + log = log M + colog N, Since — = M • — , we have NN that is, The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. EXERCISE 15 1. Given 53= 125, 52 = 25, 51 = 5; write down the... | |
 | Claude Irwin Palmer, Charles Wilbur Leigh - Plane trigonometry - 1914 - 308 pages
...the colog N = log -^ = log 1 — log N. Ml Also log -^r = log M + log — = log M + colog N, that is: The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. The logarithm of the quotient of two numbers is equal to the logarithm... | |
 | George Wentworth - Plane trigonometry - 1914 - 348 pages
...log ЛВС = log -a + logB + log C, and so on for any number of factors. 41. Logarithm of a Quotient. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. For if A = 10?, and В = 10», then — = 10*-», В and therefore... | |
 | Claude Irwin Palmer, Charles Wilbur Leigh - Logarithms - 1916 - 348 pages
...colog N = log •— = log 1 — log N. M 1 Also log -jy = log M + log д= = log M + colog N, that is: The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. To find the cologarithm of a number, subtract the logarithm of... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
....=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 EXEECISE Find log ^; log |-;... | |
 | George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 346 pages
...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 a law of exponents, a''"... | |
 | George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 344 pages
...law enables us to replace multiplication by addition with the aid of a table of logarithms. (b) TJie 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 a law of exponents, m... | |
 | Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...bn, 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 = m and log6 q - n. Then pfq... | |
 | Walter Gustav Borchardt - Arithmetic - 1921 - 260 pages
...+ 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-<"... | |
 | James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...form should be completed in this manner before opening the tables. 11. Co-logarithms. We have shown the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the numbers; ie, N log jj=fog #-log M. (1) In order to obviate the... | |
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The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. 
