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" To find any power of a given number, multiply the logarithm of the number by the exponent of the power. The product is the logarithm of the power. "
Plane and Spherical Trigonometry - Page 15
by Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 188 pages
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An Introduction to Merchandize: Containing a Compleat System of Arithmetic ...

Robert Hamilton - Business mathematics - 1777 - 740 pages
...combining the two former. See $ 32. and, PART. I. $ 72. 78, Problem VI. To involve numbers by logarithms : Multiply the logarithm of the number by the exponent of the power j the product is the logarithm of the power. Ex. What is the cube of ai ? Log. of ai = 1.322219 3 Cube...
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Mathematical Tables: Containing Logarithms of Numbers, Logarithmic Sines ...

Logarithms - 1790 - 182 pages
...PROBI.EM VI. To raife fowrert i that is, tofndtbe fqtiare, tule, fcff. ef any number, ly logarithms. Multiply the logarithm of the number by the exponent -of the power; the produa is the logarithm of the power. Example I. Example I. What ie the cube of 1 8 ? What i» the...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...the first place, th;i; since in order to obtain the result of raising a number to any power, we must multiply the logarithm of the number by the exponent of the power, we must take at first the logarithm of the proposed number with more than 7 decimals, if we wish to...
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Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ...

William Chauvenet - Binomial theorem - 1843 - 102 pages
...l°s- *, from which we have log. b" =n log. b. Therefore, to involve a given number to any power, we multiply the logarithm of the number by the exponent of the power; the product is the logarithm of the required power. 63. The logarithm of any root of a number is equal...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...broad, in 9 days of 15 hours each ? Ans. 180 men. 21. INVOLUTION AND EVOLUTION BY LOGARITHMS. RULE. Multiply the logarithm of the number by the exponent of the power or fractional exponent of the root to be extracted, and the result will be the logarithm of the power...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 192 pages
...by the exponent of the power. Hence, to involve a number by logarithms, we have the following RULE. Multiply the logarithm of the number by the exponent of the power required. Ex. 1. Required the square of 428. The logarithm of 428 is 2.631444 2 Square, 183184, log....
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 368 pages
...the dividend, and find the natural number corresponding to the difference (309). (328). To raise any Power of a Number. Multiply the logarithm of the number by the exponent of the powei , and find the natural number corresponding to the product (310). (329.) To extract any Root...
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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...by the exponent of the power. Hence, to involve a number by logarithms, we, have the following RULE. Multiply the logarithm of the number by the exponent of the power required. Ex. 1. Required the square of 428. Olie logarithm of 428 is 2.631444 2 Square, 183184, log....
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Elements of Plane Trigonometry: And Their Application to the Measurement of ...

William Frothingham Bradbury - Plane trigonometry - 1864 - 324 pages
...by 64.16. 6. Divide — 14.55 by 543. 7. Divide— 465 by —19.45. INVOLUTION BY LOGARITHMS. RULE. Multiply the Logarithm of the number by the exponent of the power required. 1. Find the 15th power of 1.17. Log. of 1.17 is 0.068186 15 Ans. 10.538. Log. 1.022790 2....
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...Logarithms. — According to Art. 398, to involve a number to any power we have the following RULE. Multiply the logarithm of the number by the exponent of the power required. It should be remembered that .what is carried from the decimal part of the logarithm is positive,...
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