 | Joe Garner Estill - 1896 - 168 páginas
...equal to the logarithm of the number multiplied by the exponent of the power. IV. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. 3. The only kind of logarithms with which we have to do here are those in which the assumed number,... | |
 | Joe Garner Estill - 1896 - 186 páginas
...equal to the logarithm of the number multiplied by the exponent of the power. IV. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. 3. The only kind of logarithms with which we have to do here are those in which the assumed number,... | |
 | James William Nicholson - 1898 - 204 páginas
...the power. For, Art. 2, (/)', a* = l0"'. ... (Art. 1), logai=pa', or by (A), log a" =px loga. 5. lV. The logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. For, Art. 2, • V(f), .Vä = l 0"r . r - a' .•. (Art. 1), logVä = — > or by (A), log л/а =... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - 1899 - 188 páginas
...equals the index of the power times the logarithm of the number. IV. The logarithm of a root equals the logarithm of the number divided by the index of the root. For if ax = n and av = m, then nxm = ax+v, .•. logwm = x + y = logn + logm; and n .t. m = ax~v, .'.log—... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1899 - 506 páginas
...numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of the number divided by the index of the root. ,ir For, logi (m') = llog m = Ч Ч Eg, If Iog7 2401 = 4, what is Iog7 V2401 ? We have Iog7 V2401 =... | |
 | Webster Wells - 1906 - 484 páginas
...af* = mr; whence, ]og„mp=px=p logem. 424. In any system, the logarithm of any root of a number in equal to the logarithm of the number divided by the index of the root. ii For, log. \/т = loge(m--) = -logam (§ 423). 425. Examples. 1. Given log 2 = .3010 ; find log 2*.... | |
 | William Findlay Shunk - 1908 - 386 páginas
...over the characteristic : thus, 2.380211 is equivalent to — 2 + .380211. (See last example, p. 8.l 4. The characteristic of the logarithm of a mixed...subtraction instead of multiplication and division. n. MANNER OP USING THE TABLES. TO FIND THE LoGARITHM OF ANT NUMBER. 1. First find the characteristic... | |
 | Webster Wells - 1908 - 456 páginas
...the assumed equation to the pth power, ap*—иlp. whence, Iog„mp=px=j9logam. 90. In any system, the logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. — - 1 For, log„Vm = lo&,(m;)=~ logam(§ 89). 91. Examples. 1. Given log 2 = .3010 ; find log 2Í... | |
 | Frederick Howland Somerville - 1908 - 428 páginas
...logmf=px. But, from (1), x = log m, , (Art. 438) Hence, log m" = pQog "0 • 456. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. Let 10« = m. (1) Raising both members to the power indicated by -, x 1 9 10« = m«. •1 Whence,... | |
 | William James Milne - 1908 - 476 páginas
...logarithms are simply exponents, it follows that : 587. PRINCIPLE. — The logarithm of a root ofanumber is equal to the logarithm, of the number divided by the index of the required root; that is, To any base, log -л/ni =Ж^. и For, let log,, in = x and let n be any number,... | |
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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
