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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. "
Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ... - Página 50
por William Chauvenet - 1843 - 92 páginas
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Third-year Mathematics for Secondary Schools

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...
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - 1917 - 334 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...
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Elementary Functions and Applications

Arthur Sullivan Gale, Charles William Watkeys - 1920 - 436 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...
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Practical Arithmetic for Schools ...

Walter Gustav Borchardt - 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-<" n 10" .•....
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Plane and Spherical Trigonometry: With Stereographic Projections

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...
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The New International Encyclopædia, Volumen14

1926
...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...
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The Open Court, Volumen28

Paul Carus - 1914
...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...
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Principles and Applications of Mathematics for Communications-electronics

1992
...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)...
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Demographic Projection Techniques for Regions and Smaller Areas: A Primer

H. Craig Davis - 1995 - 116 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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Laws and Models: Science, Engineering, and Technology

Carl W. Hall - 2018 - 560 páginas
...Napier, 1. The logarithm of the product of two numbers is the sum of the logarithm of each number. 2. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. 3. The logarithm of a power of a number...
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