 II. The logarithm of the quotient of two numbers equals the logarithm of the dividend minus the logarithm of the divisor.  Higher Arithmetic - Page 111by Wooster Woodruff Beman, David Eugene Smith - 1897 - 193 pagesFull view - About this book
 | Charles Auguste A. Briot - 1863 - 374 pages
...Hachette's Library, King William Street, Strand. it follows therefrom that the logarithm of the quotient equals the logarithm of 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
...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,... | |
 | Edward Olney - Trigonometry - 1872 - 216 pages
...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,... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...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,... | |
 | Aaron Schuyler - Measurement - 1864 - 506 pages
...1.03062. DIVISION BY LOGARITHMS. 16. Proposition. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. (" (1) 6-= yn; then, by def., log TO = x. Let ] ( (2) 6 l = n; then, by def, log n = y. (1) -5- (2) - (3)... | |
 | Charles Ambrose Van Velzer, Charles Sumner Slichter - Algebra - 1888 - 234 pages
...\og,,'i'-=\ogan+\ogar. (a) In the same wajr, if log,,5— Ğ, then That is, loguĞrs=lo 8. THEOREM. The logarithm of the quotient of two numbers equals...the logarithm of the dividend minus the logarithm of f/tc divisor. Let n and r be any two. positive numbers and let log,iĞ=.v and \ognr=z. (i) Then, by... | |
 | 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... | |
 | 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.... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - Plane trigonometry - 1899 - 188 pages
...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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