 | James William Nicholson - Trigonometry - 1898 - 204 pages
...significant part of 2400. is 24 ; of 2.030, 203 ; of .00108, 108 ; of .00023070, 2307. 2. Principles. l. The logarithm of a product is equal to the sum of the logarithms of the factors. For, let a = 10°' . . (/), and b = 10'' . . . (g) then log a = a', and log b = b' (A) (/) x (g), ab... | |
 | George Albert Wentworth - Arithmetic - 1898 - 424 pages
...following logarithms : 649. Since every factor of a product may be expressed as a power of ten (§ 628), The logarithm of a product is equal to the sum of the logarithms of its factors (§ 69). 650. Example. Find by logarithms the product of 908.4 X 0.05392 X 2.117. SOLUTION.... | |
 | George Albert Wentworth - 1898 - 424 pages
...following logarithms : 649. Since every factor of a product may be expressed as a power of ten (§ 628), The logarithm of a product is equal to the sum of the logarithms of its factors (§ 69). 650. Example. Find by logarithms the product of 908.4 X 0.05392 X 2.117. SOLUTION.... | |
 | George Albert Wentworth - Arithmetic - 1898 - 424 pages
...following logarithms : 649. Since every factor of a product may be expressed as a power of ten (§ 628), The logarithm of a product is equal to the sum of the logarithms of its factors (§ 69). 650. Example. Find by logarithms the product of 908.4 X 0.05392 X 2.117. SOLUTION-.... | |
 | George Egbert Fisher - Algebra - 1899 - 506 pages
...40. lo&x = -fa. 41. logs 9 = 2. 42. log, 27 = - 3. 43. log* 8 = J. Principles of Logarithms. 15. TJie logarithm of a product is equal- to the sum of the logarithms of its factors; or, logs (mxn) = logs m + Iog6n. Let log;, m = x and logj n = y ; then 61 = m and 6" =... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 pages
...0. For &° = 1, or log, 1 = 0. 5. The logarithm of the base itself is 1. For &i = b, or logi& = 1. 6. The logarithm of a product is equal to the sum of the logarithms of its factors; or, logé (mx я) = logé /и + logé л414 ALGEBRA. [Сн. XXVIII Let logbm = x and logbn... | |
 | James Morford Taylor - Algebra - 1900 - 504 pages
...= l, .-. log, 1 = 0. 440. The logarithm of the base itself is 1. Proof. a1 = a, .: loga a = 1. 441. The logarithm of a product is equal to the sum of the logarithms of its factors. Proof. Let M=ax, N=a!>; then M x N= ax+». § 346 Hence loge(3f y, N) = x + y = loga M... | |
 | George Egbert Fisher - Algebra - 1900 - 438 pages
...base is 0. For ba = 1, or logj 1 = 0. 5. The loganthm of the base itself is 1. For b1 = b, or logj&=1. 6. The logarithm of a product is equal to the sum of the loejurithms of its factors ; or, Let logj m = x and logj n = y ; then b* = m and № = n, and therefore,... | |
 | George Egbert Fisher - 1901 - 622 pages
...0. For 6° = 1, or iogsl = 0. 5. The logarithm of the base itself is 1. For i»1 = b, or log,b = l. 6. The logarithm of a product is equal to the sum of the logarithms of its factors ; or, Let logj m = ж and logbn = y; then b* = m and b* = n, and therefore, mn = b'b' =... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...40. log2x = I15. 41. logs 9 = 2. 42. log. 27 = - 3. 43. log« 8 = \. Principles of Logarithms. 15. The logarithm of a product is equal to the sum of the logarithms of its factors; or, logi, (m X я) = logé m + logft я. Let logi та = x and logs » = У ; then bx... | |
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The logarithm of a product is equal to the sum of the logarithms of its factors. 
