| Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...(a*)" = Ж», or a>" = J/p. .-. logM" = px. Therefore, . log M" = p log„ M. Rule. — In any system, **the logarithm of any power of a number is equal to...logarithm of the number multiplied by the exponent** indicating the power. ' EXAMPLE 1. Given log 7 = .8451, find log 75. SOLUTION : log 76 = б log 7 =... | |
| John William Hopkins, Patrick Healy Underwood - Algebra - 1912 - 362 pages
...is the logarithm of the dividend minus the logarithm of the divisor. II The logarithm of a power is **the logarithm of the number multiplied by the exponent of the power.** Ill Thus log 15 = log 5 + log 3, log f = log 5 - log 7, log 173 = 3 log 17, log V2 = log 2*=J log 2,... | |
| Webster Wells, Walter Wilson Hart - Algebra - 1913 - 362 pages
...Also, (aIY — Mp, or ар1 = Мр. .: logM"=px. Therefore, log M"=p loga M. Rule. — In any system, **the logarithm of any power of a number is equal to...logarithm of the number multiplied by the exponent** indicating the power. EXAMPLE 1. Given log 7 = .8451, find log 75. SOLUTION : log 76 = б log 7 = 5... | |
| Robert Édouard Moritz - Trigonometry - 1913 - 560 pages
...quantity which is to be raised to the nth power, nx is the logarithm of the resulting power; hence, **The logarithm of any power of a number is equal to the logarithm of the number multiplied by the** index of the power to which it is to be raised, or If P = Nn, log P = n log N. Thus log 35 = 5 log... | |
| Frederick Howland Somerville - Algebra - 1913 - 458 pages
...x = log m and y = log n. (Art. 438) Hence, in (3), log - = log m - log n. n 455. The logarithm of a **power of a number is equal to the logarithm of the number multiplied by the exponent of the power.** Let 10* = m. (1) Raising both members of the equation to the pth power, !*/>* = mf. Whence, log m'... | |
| Ernest Brown Skinner - Annuities - 1913 - 264 pages
...logay = «, or x= a"' and y = a". C onsequently, xy = am+a and \oz = m + n = lo IV. The logarithm of a **power of a number is equal to the logarithm of the number multiplied by the exponent of the power.** Let x be the number, n the exponent of the power, and l the logarithm of x. Then we have l = \ogax,... | |
| George Wentworth, David Eugene Smith - Plane trigonometry - 1914 - 348 pages
...0.11 x Щ' 7.03 x 0.7281' 58. Raising to a Power. It has been shown (§ 42) that the logarithm of a **power of a number is equal to the logarithm of the number multiplied by the exponent.** 1. Find by logarithms the value of 11*. From the tables, log 11 =1.04139 Multiplying by 3, . 3 log... | |
| Henry Charles Wolff - Mathematics - 1914 - 332 pages
...u= a*, Then ua = a"x, or logo un = nx, or Iog0 u" = n loga u. Thus the theorem: The logarithm of the **power 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... | |
| Claude Irwin Palmer, Charles Wilbur Leigh - Plane trigonometry - 1914 - 308 pages
...dividend minus the logarithm of the divisor. By (b) . (6) The logarithm of a power of a number equals **the logarithm of the number multiplied by the exponent of the power.** By (c) . (7) The logarithm of a root of a number equals the logarithm of the number divided by the... | |
| William David Pence - 1915 - 416 pages
...of a quotient is the difference of the logarithms of the dividend and divisor. 3. The logarithm of a **power of a number is equal to the logarithm of the number multiplied by the** index of the power. 4. The logarithm of a root of a number is equal to the logarithm of the number... | |
| |