Books Books The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 73
by Nathan Scholfield - 1845 ## Elementary Algebra: first course

John Charles Stone, James Franklin Millis - Algebra - 1911 - 702 pages
...Then n? = (a1)»1 = afx. Hence, Iog0 if = px=p loga n. IV. The logarithm of a root of a number equals the logarithm of the number, divided by the index of the root. That is, rr log« я lOga V« = p For, let a1 = n. X Then -Ñ/ñ = vV = a'. By use of the above principles... ## First Principles of Algebra: Advanced Course

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1912 - 238 pages
...logarithm of the dividend minus the logarithm of the divisor. (Ь) The logarithm of a root of a number is the logarithm of the number divided by the index of the root. That is log - = log a — log b and log \/a = Ь п EXERCISES By means of logarithms approximate the... ## The Wireless Age, Volume 1

Radio - 1913 - 1052 pages
...a power is equal to the power times the logarithm of the number, and the logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. 3. Since a° = I, then loga i = o The logarithm of unity is zero. Since a1 = a, then log. a = i. The... ## Elementary Algebra Revised

Frederick Howland Somerville - Algebra - 1913 - 458 pages
...px. But, from (1), x = log m, (Art. 438) Hence, log m" = pQog n8). 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. (I) Raising both members to the power indicated by-, 109=n89. l Whence, log m9 = -. (Art.... ## Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 560 pages
...is to be extracted, -is the logarithm of the resulting root; hence, n The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root to be extracted, or if p=4W, iog/» = !^r. я Thus log Viy = i log 17. 26. Logarithms of Special Values.... George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...=,10^*. Hence log Af = px = p log A. 321. Logarithm of a Root. The logarithm of a root of a number equals the logarithm of the number divided by the index of the root. If x = log A , then A = 10«. i Taking the г-th root, A~r = W. 1 x Hence log Ar — r r Therefore... ## School Algebra, Book 2

George Albert Wentworth - 1913 - 296 pages
...That is, 10g2 322 = 2 log2 32. 235. Logarithm of a Root. The logarithm of a root of a number equals the logarithm of the number divided by the index of the root. If ж = log .4, then Л =10*. IX Taking the rth root, Aг = 10r. \ 1 x Hence log Ar = As in § 234,... ## Plane Trigonometry and Tables

George Wentworth - Plane trigonometry - 1914 - 350 pages
...= p log A . For example, log 7.26 = 5 log 7.2. 7. Logarithm of a Root. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. For if x = \ogA, then A = 10*. 1 ЯС Taking the rth root, AT = 10?. ., . .- x \osA Hence log.Ar =... ## Mathematics for Agricultural Students

Henry Charles Wolff - Mathematics - 1914 - 332 pages
...of a number is equal to the logarithm of the number multiplied by the index of the power. root of a number is equal to the logarithm of the number divided by the index of the root. ILLUSTRATION : If log 2 = 0.3010, log 4 = 2 log 2 = 2 X 0.3010 = 0.6020, and log \/2 = J log 2 = JX... 