 For, 2Р = (а")' = а"г. . • . loga (N") = np=plog„N. 7. The logarithm of the real positive value of a root of a positive number is found by dividing the logarithm of the number by the index of the root.  Plane and Spherical Trigonometry - Page 116by George Albert Wentworth - 1902 - 232 pagesFull view - About this book
 | George Albert Wentworth - Trigonometry - 1896 - 344 pages
...number by the exponent of the power. For, JV* = («»)* = a14". . • . Iog0 (Nf) = np—p log„ N. 7. The logarithm of the real positive value of a root...positive number is found by dividing the logarithm of tin. number by the index of the root. n For, \/N = -To" = a'. Change of System. Logarithms to any base... | |
 | George Albert Wentworth - Logarithms - 1897 - 384 pages
...the number by the exponent of the power. For, Nf = (a*y = a*>. . • . loga ( N') = np=p loga N. 1. The logarithm of the real positive value of a root...logarithm of the number by the index of the root. For, Change of 8ystem. Logarithms to any base a may be converted into logarithms to any other base b as... | |
 | George Albert Wentworth - Logarithms - 1897 - 266 pages
...of the number by the exponent of the power. For, NP = (a"y = a"p. . • . loga (N") = np=plogaN. 1. The logarithm of the real positive value of a root...logarithm of the number by the index of the root. __ • . „ For, Z/N = Va" = a?. Change of System. Logarithms to any base a may be converted into... | |
 | George Albert Wentworth - Algebra - 1897 - 386 pages
...power. For A" = (10°)" = 10«". Therefore, log .4n = an = n log A. 385. The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. a For Therefore, 386. The logarithms of 1, 10, 100, etc., and of 0.1, 0.01, 0.001, etc., are integral... | |
 | George Albert Wentworth - 1898 - 514 pages
...found by multiplying the logarithm of the number by the exponent of the power. For, N" = (a"Y = a"". (7) The logarithm of the real positive value of a...logarithm of the number by the index of the root. For л/Ж= -Va" = a*. 266. In a system with a positive base greater than 1 the logarithms of all numbers... | |
 | George Albert Wentworth - 1898 - 112 pages
...exponent of the power. r r— r / — (7) Since V*=Va" = ar, therefore, = - = • That is, The logarithm of a root of a positive number is found by dividing...logarithm of the number by the index of the root. NOTE. By root is meant the real, positive value of the root. Hence, in a system of logarithms with... | |
 | George Albert Wentworth - 1898 - 424 pages
...by the exponent of the power. For A" = (10a)" = 10"°. (§ 251) 415. The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For VI = TÍO" = 1(K (§ 251) Therefore, n 416. The logarithms of 1, 10, 100, etc., and of 0.1, 0.01, 0.001,... | |
 | George Albert Wentworth - Arithmetic - 1898 - 424 pages
...of the root. Thus, the sixth root of 107, that is, VlCT = 10g. Hence, The logarithm of a root of a number is found by dividing the logarithm of the number by the index of the root. 654. Examples. 1. Find the cube root of 271. SOLUTION. log 271 = 2.4330 Divide by 3, 3)2.4330 0.8110... | |
 | George Albert Wentworth - Arithmetic - 1898 - 424 pages
...the root. Thus, the sixth root of 10 7 , that is, •^107 = 10». Hence, The logarithm of a root of a number is found by dividing the logarithm of the number by the index of the root. 654. Examples. 1. Find the cube root of 271. SOLUTION. log 271 = 2.4330 Divide by 3, 3)2.4330 0.8110... | |
 | George Albert Wentworth - 1898 - 424 pages
...of the root. Thus, the sixth root of 107, that is, VlO7" = 10*. Hence, The logarithm of a root of a number is found by dividing the logarithm of the number by the index of the root. 654. Examples. 1. Find the cube root of 271. SOLUTION. log 271 = 2.4330 Divide by 3, 3)2.4330 0.8110... | |
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