 The logarithm of a product is the sum of the logarithms of the factors. 10™ 2. —— =10™~r. The logarithm of a quotient is the logarithm of the dividend minus the logarithm of the divisor. 3. (10"')r = 10"'.  A Drill-book in Algebra - 232 ページGeorge William Jones 著 - 1892 - 272 ページ全文表示 - この書籍について
 | Colin MacLaurin - 1801 - 506 ページ
...product of A and B, and the logarithm of unit is nothing, the logarithm of any product i* equal to the sum of the logarithms of the factors, and the logarithm of any power of A is to the logarithm of A as the exponent of that power is to unit. VOL. I. L 153. Wh.«... | |
 | George Peacock - 1845 - 474 ページ
...find (Art. 635) ( 1 ) a* x af = a'+*' = n n', where x + x' is the logarithm of n n' : in other words, the logarithm of a product is the sum of the logarithms of its factors. (2) — =ar~*'= — , where x' — x is the logarithm of —, : in other words, the logarithm... | |
 | Georg Freiherr von Vega - 1857 - 618 ページ
...10»-* = , or log AB = a + b, log 4 = a— b, log Ac = ca, log VÂ = — Jj С from which we see that the logarithm of a product is the sum of the logarithms of the factors, the logarithm of a quotient the difference between the logarithms of the dividend and divisor, and... | |
 | William John Macquorn Rankine - 1866 - 342 ページ
...377°° 4-57634 377° 3-57634 377 2-57634 377 1-57634 3•77 0-57634 •377 I-57634 •0377 •00377 29. The logarithm of a product is the sum of the logarithms of its factors. 30. The logarithm of a power is equal to the logarithm of the root multiplied by the index... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - 1873 - 372 ページ
...3-57634 377 2-57634 37-7 1-57634 3-77 0-57634 -377 1-57634 -0377 2-57634 -00377 3-57634 and so on. 11. The logarithm of a product is the sum of the logarithms of its factors. 12. The logarithm of a power is equal to the logarithm of the root multiplied by the index... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - 1873 - 368 ページ
...3-57634 377 2-57634 37-7 1-57634 3-77 0-57634 •377 1-57634 -0377 2-57634 -00377 3-57634 and so on. 11. The logarithm of a product is the sum of the logarithms of its factors. 12. The logarithm of a power is equal to the logarithm of the root multiplied by the index... | |
 | C R. Lupton - 1879 - 194 ページ
...-06. _ '• ~ log 1-05 ~ -02118 PAPERS ON LOGARITHMS. PAPER 1. (1) Define a logarithm, and prove that the logarithm of a product is the sum of the logarithms of the factors. Explain how in the common system of logarithms the characteristic may be found by inspection. Given... | |
 | George Albert Wentworth - 1881 - 400 ページ
...on the position of the decimal point. 304. As logarithms are simply exponents (§ 294), therefore, The logarithm of a product is the sum of the logarithms of the factors. Thus, log 20 = log (2 X 10) = log 2 + log 10 = 0.3010 + 1.0000 = 1.3010; log 2000 = log (2 X 1000)... | |
 | George Albert Wentworth, Thomas Hill - 1881 - 446 ページ
...characteristic on tbe position of the decimal point. 411. As logarithms are simply exponents therefore (§ 148), The logarithm of a product is the sum of the logarithms of the factors. Thus, log 20 = log (2 x 10) = log 2 + log 10 = 0.3010 + 1.0000 = 1.3010 ; log 2000 = log (2 x 1000)... | |
 | George Albert Wentworth, Thomas Hill - 1882 - 376 ページ
...characteristic on the position of the decimal point. 411. As logarithms are simply exponents therefore (§ 148), The logarithm of a product is the sum of the logarithms of the factors. Thus, log 20 = log (2 x 10) = log 2 + log 10 = 0.3010 + 1.0000 = 1.3010 ; log 2000 = log (2 x 1000)... | |
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