| George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...logi 1=0. Eg, logs 4 = 2, and Iog2 J = - 2. 19. 27ге logarithm of any power, integral or fractional, **of a number is equal to the logarithm of the number multiplied by the exponent of the power;** or, log (m") = p log m. Let logi m = x, then bf = m. Raising both sides of the last equation to the... | |
| George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 340 pages
...logj 1=0. Eg, log, 4 = 2, and log2 i = - 2. 10. The logarithm of any power, integral or fractional, **of a number is equal to the logarithm of the number multiplied by the exponent of the power** ; or log m" = p log m. Let logj m = x, then b* = m. Raising both sides of the last equation to the... | |
| William James Milne - Algebra - 1901 - 464 pages
...logarithms. Since logarithms are simply exponents, it follows that: 472. PRINCIPLE. — The logarithm of a **power of a number is equal to the logarithm of the number multiplied by the** index of the power; that is, To any base, log m" = n log m. The above principle may be established... | |
| George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 646 pages
...1=0. jB.gr., logj 4 = 2, and Iog2 \ = - 2. 19. Tfie logarithm of any power, integral or fractional, **of a number is equal to the logarithm of the number multiplied by the** ex2)onent of the power; or, log (m") = p log m. Let logi m = x, then b* = m. Raising both sides of... | |
| George Egbert Fisher - 1901 - 622 pages
...1=0. E. д., Iog2 4 = 2, and Iog2 J = - 2. 10. Tlie logarithm of any power, integral or fractional, **of a number is equal to the logarithm of the number multiplied by the** t of the power; or log m" = p log m. Let logj m = x, then b* = m. Raising both sides of the last equation... | |
| James Harrington Boyd - Algebra - 1901 - 818 pages
...ALGEBRA [22575, 576 575. Powers. — -We know that the logarithm of a number raised to a given power is **the logarithm of the number multiplied by the exponent of the power.** EXAMPLES. 1. Calculate Here Hence, 2. Calculate Here Hence, 3. Calculate x = o . log x = 8 log 5 log... | |
| James Harrington Boyd - Algebra - 1901 - 816 pages
...= 404367.3 321 575. Powers. — "We know that the logarithm of a number raised to a given power is **the logarithm of the number multiplied by the exponent of the power.** EXAMPLES. 1. Calculate x = 5*. Here Hence, 2. Calculate Here Hence, 3. Calculate log x = 8 log 5 log... | |
| Thomas Ulvan Taylor, Charles Puryear - Trigonometry - 1902 - 242 pages
...division, a Therefore, by Sec. 10, logtt — = x — v/, n (c) The logarithm of a power of a number equals **the logarithm of the number multiplied by the exponent of the power.** Thus, log 235 - 5 log 23. Proof. Let n be the number and p the exponent of the power, and let Then,... | |
| John Marvin Colaw - Algebra - 1903 - 444 pages
...-- 400 x .005 3.24 -s- 65 4.9 x(-306) x 48.3 6.32 x 7832' 100 x 2.9 x .081 481. The logarithm of a **power of a number is equal to the logarithm of the number multiplied by the exponent of the power.** Thus, 100" = (102)3 = 102*3 = 106. .'. log 1003 = 2x3 = 6. In general, if log m = x and a = any exponent... | |
| James Morford Taylor - Plane trigonometry - 1904 - 192 pages
...a*-v. Hence loga(M- N) = x — y = logaM — \ogaN. (iii) The logarithm of any power of an arithmetic **number is equal to the logarithm of the number multiplied by the exponent of the power.** Let Ж = a1. Then, for all real values of p, we have Mp = aļ». Hence loga (M*) = px=p logalf. (1)... | |
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