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" The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number. "
The Art of Railroading: Or, The Technique of Modern Transportation - Page 34
edited by - 1906
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Machinists' and Draftsmen's Handbook: Containing Tables, Rules, and Formulas ...

Peder Lobben - Mechanical engineering - 1899 - 460 pages
...Briggs system of logarithms has for its modulus 0.4342945, and 10 for its base. Therefore the Briggs logarithm of a number is the exponent of the power to which 10 must be raised in order to give the number. Thus : Log. 1=0 because 10° = 1. " 10 = 1 " 10t = 10....
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The Elements of Plane and Spherical Trigonometry

Thomas Ulvan Taylor, Charles Puryear - Trigonometry - 1902 - 268 pages
...343, the exponent 3 is the logarithm of 343 to the base 7. Definition. With reference to any base, the logarithm of a number is the exponent of the power to which the base must be raised to produce the given number. To ask, What is the logarithm of 1296 to the base...
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High School Algebra

Middlesex Alfred Bailey - Algebra - 1902 - 336 pages
...multiplier to produce the same result as a given number used once as a multiplier. The common definition, " The logarithm of a number is the exponent of the power to which a base must be raised to produce a given number," must be accepted in this sense. The number that is...
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American Handy-book of the Brewing, Malting and Auxiliary Trades ...

Robert Wahl, Max Henius - Brewing - 1902 - 1288 pages
...subtract I, divide the remainder by the ratio less I, multiply the quotient by the first term. LOGARITHMS. The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number to produce the given number. This fixed number or "base" in...
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The Logarithm as a Direct Function

John William Bradshaw - 1903 - 76 pages
...student of mathematics and physios meets logarithms for the first time at an early stage. He is told that "the logarithm of a number is the exponent of the power to which a certain number, taken as the ba.se, must be raised in order to equal the given number." The definition...
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The Calculation of Horsepower Made Easy

Leonard Elliott Brookes - Horse-power (Mechanics) - 1905 - 106 pages
...2.302585. ' Table No. 4, page 22, gives the natural logarithms of numbers from 1 to 25. COMMON LOGARITHMS Logarithms are the exponents of a series of powers...give a given base. When the logarithms of numbers form a series in arithmetical progression, their corresponding natural numbers form a series in geometrical...
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20th Century Machine Shop Practice: Arithmetic, Practical Geometry ...

Leonard Elliott Brookes - Machine-shop practice - 1906 - 664 pages
...498 248004 123505992 22.31591 7.92640 .00200 499 249001 124251499 22.33830 7.93171 .00200 500 250000 125000000 22.36067 7.93700 .00200 Logarithms of Numbers....logarithms 012 3 4 Natural numbers 1 10 100 1,000 10,000 Natural logarithms were the invention of Lord Napier. Common logarithms, the kind in general...
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Practical Mechanical Drawing and Machine Design, Self Taught ...

Charles Westinghouse - Machine design - 1906 - 168 pages
...is area of diameter of 150? 150-=-5=30. Tabular area of 30=706.86 which X 25=17,671.5 area required. LOGARITHMS OF NUMBERS Logarithms are the exponents...give a given base. When the logarithms of numbers form a series in arithmetical progression, their corresponding natural numbers form a series in geometrical...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1908 - 386 pages
...or zero plane. HW Hi9h watet. LW Low watet. LOGAE1THMS. LOGAKITHMS. DEFINITIONS AND PRINCIPLES. 1. THE logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number to produce the given number; that is to say, it represents...
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appleton's new practical cyclopedia

1910 - 620 pages
...subtraction, and the raising to powers and extraction of roots by multiplication and division of the former. The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number to produce the given number. The fixed number is called the...
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