 | John Charles Snowball - 1837 - 322 pages
...\П I r log I - J = log m — log n. Hence, if we find in the tables the number whose logarithm is the logarithm of the dividend minus the logarithm of the divisor, we obtain the quotient. 6. The logarithm of the c"' power of any number is equal to с times the logarithm... | |
 | Charles Auguste A. Briot - 1863 - 374 pages
...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... | |
 | Edward Olney - Trigonometry - 1885 - 222 pages
...examples in division below will offer additional exercise, U necessary-] 1- Divide 24163 by 4567SOLUT1ON Since the logarithm of the quotient equals the logarithm...divisor, we have the following operation • log 24163 = 4-383151 log 4567 = 3-659631 0-723520 = log 5-29078, which number is the quotient 2- Divide 56-4... | |
 | Edward Olney - Trigonometry - 1872 - 216 pages
...9703407 by 90807. Prod. 881137279449. 9. Multiply 3.47 by 9.83. Prod. 34.1101. 10. Multiply 12.763 by 10.976. . Prod. 140.086688. [NOTE. The examples...the divisor, we have the following operation : log 241 63 = 4.383151 log 4567 = 3.659631 0.723520 = log 5.29078, which number is the quotient. * 2. Divide... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...9703407 by 90807. Prod. 881137279449. 9. Multiply 3.47 by 9.83. Prod. 34.1101. 10. Multiply 12.763 by 10.976. Prod. 140.086688. (NOTE. The examples in...logarithm of the quotient equals the logarithm of tbe dividend minus the logarithm of the divisor, we have the following operation : log 24163 = 4.383151... | |
 | Edward Olney - Trigonometry - 1877 - 220 pages
...9703407 by 90807. Prod. 881137279449. 9. Multiply 3.47 by 9.33. Prod. 34.1101. 10. Multiply 12.763 by 10.976. Prod. 140.086688• [NOTE. The examples...exercise, if necessary.] 1. Divide 24163 by 4567. SOLUT1ON. Since the logarithm of the quotient equals the logarithm of the dividend minus the logarithm... | |
 | David Martin Sensenig - Algebra - 1890 - 556 pages
...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,... | |
 | Ellen Hayes - Algebra - 1894 - 116 pages
...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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Arithmetic - 1897 - 232 pages
...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"""'... | |
 | Ellen Hayes - Algebra - 1897 - 244 pages
...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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The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor. 
