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" The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor. "
Plane and Spherical Trigonometry - Pàgina 55
per Preston Albert Lambert - 1905 - 98 pàgines
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Elements of arithmetic, tr. by J. Spear

Charles Auguste A. Briot - 1863 - 374 pàgines
...eliding-rule for calculations, at Hachette's Library, King William Street, Strand. it follows therefrom that the logarithm of the quotient equals the logarithm...the dividend, minus the logarithm of the divisor. For example, if from the logarithm of 36 we subtract the logarithm of 9, we find 0,60206, which is...
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Elements of Trigonometry: Plane and Spherical

Edward Olney - 1885 - 222 pàgines
...division below will offer additional exercise, U necessary-] 1- Divide 24163 by 4567SOLUT1ON Since the logarithm of the quotient equals the logarithm...of the dividend minus the logarithm of the divisor, we have the following operation • log 24163 = 4-383151 log 4567 = 3-659631 0-723520 = log 5-29078,...
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Elements of Trigonometry, Plane and Spherical

Edward Olney - 1872 - 216 pàgines
...division below will offer additional exercise, if necessary.] 1. Divide 24163 by 4567. SOLUTION. Since the logarithm of the quotient equals the logarithm...of the dividend minus the logarithm of the divisor, we have the following operation : log 241 63 = 4.383151 log 4567 = 3.659631 0.723520 = log 5.29078,...
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A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 472 pàgines
...division below will offer additional exercise, if necessary.] 1. Divide 24163 by 4567. SOLUTION. Since the logarithm of the quotient equals the logarithm...of the dividend minus the logarithm of the divisor, we have the following operation : log 24163 = 4.383151 log 4567 = 3.659631 0.723520 = log 5.29078,...
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Tables of the Common Logarithms and Trigonometrical Functions to Six Places ...

Carl Bremiker - 1875 - 544 pàgines
...taken separately. Further, the logarithm of the quotient of one number divided by another is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of the power of any quantity is equal to the product of the logarithm of the quantity and...
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The Elements of Plane and Spherical Trigonometry: With the Construction and ...

John Charles Snowball - 1880 - 256 pàgines
...-L»; or, log f™ J= log m -log n. Hence if there be found in the tables the number whose logarithm is the logarithm of the dividend minus the logarithm of the divisor, the quotient is obtained. 6. The logarithm of the cth power of any number is equal to с times the logarithm's...
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Numbers Universalized: An Advanced Algebra, Volum 2

David Martin Sensenig - 1890 - 556 pàgines
...quantities equals the sum of their logarithms. Prin. 3. — The logarithm of the quotient of two quantities equals the logarithm of the dividend minus the logarithm of the divisor. 468. Suppose a" = m, then log. m = x. Now, (a')' = m', or a*' = nf. log. (m*) = xy = y log. m. Therefore,...
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 172 pàgines
...product is equal to the sum of the logarithms of its factors: The logarithm of a quotient is equal to the logarithm of the dividend. minus the logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index...
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Lessons on Higher Algebra ...

Ellen Hayes - 1894 - 116 pàgines
...a™+" ; hence loga (pq) = m + n ; 4. The logarithm of the quotient of one quantity divided by another equals the logarithm of the dividend minus the logarithm of the divisor. As before, let am =p and a" = q ; hence Ioga(-j= m — n = logap — Iogag. 5. The logarithm of any...
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Logarithmic and Trigonometric Tables

Edward Albert Bowser - 1895 - 124 pàgines
...product is equal to the sum of the logarithms of its factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent...
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