| Stephen Roper - 1880 - 63 páginas
...Any root of any number may be found by logarithms as follows : The logarithm of the root of a given **number is equal to the logarithm of the number divided by the index of the root.** Hyperbolic logarithms is a system of logarithms, so called, because the numbers express the areas between... | |
| Elias Loomis - 1881 - 384 páginas
...number by the exponent of the power; the product is the logarithm of the required power. 399. TJie **logarithm of any root of a number is equal to the logarithm of** that number divided by the index of the root. If we extract the rth root of both members of Eq. (1),... | |
| George Albert Wentworth - 1881 - 380 páginas
...simply exponents (§ 294), therefore, when roots are expressed by fractional indices, The logarithm of a **root of a number is equal to the logarithm of the number** multiplied by the index of the root. Thus, log 2* = \ oflog 2 = \ x 0.3010 = 0.0753. log .002* = }... | |
| George Albert Wentworth, Thomas Hill - 1881 - 351 páginas
...11 x 0.4771 = 5.2481. 413. As logarithms are simply exponents, therefore (§381), The logarithm of a **root of a number is equal to the logarithm of the number** multiplied by the index of the root. Thus, log 2* = i of log 2 = £ x 0.3010 = 0.0753. log .002* =... | |
| Edwin Pliny Seaver, George Augustus Walton - 1881 - 297 páginas
...root, i/N= b", whence it appears (Art. 384) that is the logarithm of y/jV. Hence The logarithm of a **root of a number is equal to the logarithm of the number divided by the index of the root.** 395. Briefly expressed in formulas the propositions just proved are as follows: (1) }og(NN'N" . . .)... | |
| Simon Newcomb - 1882 - 184 páginas
...equal to the logarithm of the number multiplied by the exponent of the power. IV. The logarithm of the **root of a number is equal to the logarithm of the number divided by the index of the root.** We thus derive the following rules: To find the product of several factors by logarithms. KULE. Add... | |
| Simon Newcomb - 1882 - 104 páginas
...equal to the logarithm of the number multiplied by the exponent of the power. IV. The logarithm of the **root of a number is equal to the logarithm of the number divided by the index of the root.** We thus derive the following rules: To find the product of several factors by logarithms. RULE. Add... | |
| Simon Newcomb - 1882 - 279 páginas
...the иth power, 10"* = p". Whence nh — log jo", or n log p = logy. THEOREM X. The logarithm of a **root of a number is equal to the logarithm of the number divided by the index of the root.** Proof. Let s be the number, and let p be its nth root, so that p = VU and s = p". Hence log s = logp"... | |
| George Albert Wentworth, Thomas Hill - 1882 - 351 páginas
...11 x 0.4771 = 5.2481. 413. As logarithms are simply exponents, therefore (§381), The logarithm of a **root of a number is equal to the logarithm of the number** multiplied by the index of the root. Thus, log 2* = J of log 2 = } x 0.3010 = 0.0753. log .002* = J... | |
| George Albert Wentworth - 1883
...be the logarithm of m. Then т = а*, and mr = (a*yr = af. .-. log mP = px, IV. The logarithm of the **root of a number is equal to the logarithm of the number divided by** thе index of the root. For, let x be the logarithm of m. Then m = of, and m = (aff = cff. 319. An... | |
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