| 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... | |
| Henry Charles Wolff - Mathematics - 1914 - 332 pages
...division _ u v ' or or loga ^— J = loga u - logo v. Thus the theroem: The logarithm of a quotient **is equal to the logarithm of the dividend diminished by the logarithm of the divisor.** Exercises Using the logarithms given in preceding Exercise, find the logarithms of the following: (a)... | |
| Claude Irwin Palmer, Charles Wilbur Leigh - Logarithms - 1916 - 188 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 - 334 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 - 313 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... | |
| Ernest Brown Skinner - Algebra - 1917 - 288 pages
...= loga y2, it follows that t + loga yv as was to be proven. THEOREM 4. The, logarithm of a quotient **is equal to the logarithm of the dividend diminished by the logarithm of the** denominator. Let yl be the dividend and y2 the divisor, Xj the logarithm of y1, and x2 the logarithm... | |
| Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...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... | |
| Arnold Dresden - Plane trigonometry - 1921 - 110 pages
...loga p + logo q. THEOREM II. The logarithm of the quotient of two numbers with respect to the base a **is equal to the logarithm of the dividend diminished by the logarithm of the divisor:** loga - = logap]- logo q. THEOREM III. The logarithm of a power of a number with respect to the base... | |
| Walter Gustav Borchardt - Arithmetic - 1921
...+ 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-<"... | |
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