| Raymond Benedict McClenon - Functions - 1918 - 264 pages
...this law n also includes as a corollary the following : The logarithm of a root of a number equals **the logarithm of the number, divided by the index of the root.** 154. If we now consider the application of these laws of logarithms (taking for 'base some number >1),... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1919 - 576 pages
...so on. This illustrates the truth of another theorem, namely, that the lo</arithm of any root of a **number is equal to the logarithm of the, number divided by the index of the root.** Thus, log V542 = i log 542 = MIM = -1 .3670. If the logarithm of the number is negative, the root may... | |
| George Wentworth, David Eugene Smith - Arithmetic - 1919 - 268 pages
...=1.6317, J log 42.83 = 0.5439 = log 3.499. That is, ^42.83 = 3.499. The logarithm of a root of a number is **the logarithm of the number divided by the index of the root.** Exercise. Computation by Logarithms Multiply as indicated, using logarithms : 1. 26 x 35. 3. 27.6 x... | |
| George Wentworth - 1919 - 266 pages
...J log 42.83 = 0.5439 = log 3.499. That is, -^42.83 = 3.499. The logarithm of a root of a number is **the logarithm of the number divided by the index of the root.** Exercise. Computation by Logarithms Multiply as indicated, using logarithms : 1. 26 x 35. 3. 27.6 x... | |
| Samuel Edward Dibble - Plumbing - 1922 - 648 pages
...the logarithm of the number multiplied by the exponent of the power. 4. The logarithm of a root of a **number is equal to the logarithm of the number divided by the index of the root.** Example.— Find !/(21-2 X 1.62)2 by iogarithmg_ log 21.2 = 1.3263 log 1.62 = 0.2095 add 1.5358 multiply... | |
| Frank Loxley Griffin - Calculus - 1922 - 550 pages
...times the logarithm of the number : log an = n log a (IV) The logarithm of a root of a number equals **the logarithm of the number, divided by the index of the root** : log ^/a = - log a. If a formal proof of these laws is desired, it can be given as in the following... | |
| Edward Ira Edgerton, Perry Amherst Carpenter - Algebra - 1924 - 492 pages
...power, (10*)" = 10*" = M". Hence, log M" — xn = n • log M. The logarithm of a root of a number is **the logarithm of the number divided by the index of the root,** or, stated ui symbols, Log VM = 1 log M. n Proof: Let x = log M, so that 10* = M. Extracting the nth... | |
| Ernst Rudolph Breslich - Mathematics - 1926 - 272 pages
...roots by logarithms is exceedingly simple. The following theorem is used : The logarithm of a root of a **number is equal to the logarithm of the number divided by the index of the root,** ie, . n— log a log-ya = — ^n To prove this let log a = m. Thena = 10 m . ». m .'.loga-=— n or... | |
| Lloyd Leroy Smail - Finance - 1925 - 338 pages
...number multiplied by the exponent of the power: log M" = n log M. IV. The logarithm of a root of a **number is equal to the logarithm of the number divided by the index of the root:** log \/M = - log M. n - ^ As an example of the detailed prtJof of these laws, let us consider the first.... | |
| Benjamin Franklin Young - Business - 1925 - 778 pages
...log 1.43136 which is the logarithm of 27, the cube of 3. 4. Roots — The logarithm of any root of a **number is equal to the logarithm of the number divided by the index of the root.** Specifically, we (i) find the logarithm of the number, (2) divide it by the index of the root, and... | |
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