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" The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor. "
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 256
by Charles Davies - 1854 - 432 pages
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Plane Trigonometry with Tables

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...
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Mathematics for Agricultural Students

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)...
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Plane and Spherical Trigonometry

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...
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Third-year Mathematics for Secondary Schools

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 |-;...
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Plane and Spherical Trigonometry

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''"...
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Plane and Spherical Trigonometry

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...
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College Algebra

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...
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Elementary Functions and Applications

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...
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Plane Trigonometry

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...
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Practical Arithmetic for Schools ...

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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