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" The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor. "
Computation and Mensuration - Pàgina 54
per Preston Albert Lambert - 1907 - 92 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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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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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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Higher Arithmetic

Wooster Woodruff Beman, David Eugene Smith - 1897 - 232 pàgines
...ab= 10"' + ", and log ab = in + n = log a + log b. II. The logarithm of the quotient of two numbers equals the logarithm of the dividend minus the logarithm of the divisor. 1. Let a = 10"', then log a = m. 2. Let b = 10", " log b — n. a 10'" a 3. .•• ¿ = ïF = 10"""'...
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Algebra, for High Schools and Colleges

Ellen Hayes - 1897 - 244 pàgines
...am+n ; 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 a" = p and a" = q ; then ^ = ?-=a-"; q a" /p hence logj - j = m — n = logap — log„q....
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Plane Trigonometry

Elmer Adelbert Lyman, Edwin Charles Goddard - 1899 - 188 pàgines
...The logarithm of a product equals the sum of the logarithms of the factors. II. The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor. III. The logarithm of a power equals the index of the power times the logarithm of the number. IV....
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Plane and Spherical Trigonometry

Elmer Adelbert Lyman, Edwin Charles Goddard - 1900 - 156 pàgines
...The logarithm of a product equals the sum of the logarithms of the factors. II. The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor. III. The logarithm of a power equals the index of the power times the logarithm of the number. IV....
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