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" For, since 10" = 10, the log. of 10 is 1 ; and since 10° = 1, the logarithm of 1 is 0. PRIN. 3. — The characteristic of the logarithm of a decimal is negative, and is numerically one greater than the number of ciphers between the decimal point and... "
Numbers Universalized: An Advanced Algebra - Page 254
by David Martin Sensenig - 1890 - 530 pages
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 564 pages
...is 1; and since 10*= 1, the logarithm of 1 is 0. PRIN. 3.—The characteristic of the logarithm of a decimal is negative, and is numerically one greater...the decimal point and the first significant figure. For, if we raise the base, 10, to powers which give decimals, we will have, 10" = 1 ; hence, log 1...
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The Practice of Navigation: And Nautical Astronomy

Henry Raper - Nautical astronomy - 1882 - 952 pages
...in the whole number, and one less than i is o. (2.) When the number consists of decimals only, count the number of ciphers between the decimal point and the first significant* figure after it, and subtract this number from 9 ; the remainder is the index. Ex. 1. Find the log. of '0058...
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Elementary Text-book of Trigonometry

Robert Hamilton Pinkerton - Trigonometry - 1884 - 194 pages
...characteristic of the logarithm of a number which is less than unity is negative and greater by unity than the number of ciphers between the decimal point and the first significant figure. Thus the numbers of ciphers between the decimal point and the first significant figure in the numbers...
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - Logarithms - 1891 - 172 pages
...wholly integral, is zero or positive, and one less than the number of figures in the integral portion ; The characteristic of the logarithm of a pure decimal is negative, and one more than the number of ciphers preceding theflrst siynificant figure. Examples: The mantissae...
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The Elements of Algebra

George W. Lilley - Algebra - 1892 - 420 pages
...m"lx Find the number of digits in the values of: 12. 312X28; 2м; IG100; (4375)8; (396000)10. Find the number of ciphers between the decimal point and the first significant figure in the values of: 13. (.2)*; (.5)100; (.05)5; (.033G)10 ; V8100. 14. Given log x = 2.30103, find log...
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An Elementary Treatise on Plane Trigonometry

Ernest William Hobson, Charles Minshall Jessop - Plane trigonometry - 1892 - 328 pages
...104 = 2-0170333 find log 2-6. 8. Find the number of digits in the integral part of (Г04)1000, and the number of ciphers between the decimal point and the first significant figure of (-6)100. 9. If log y£ff =p and log 2 = q, then log 4100 =p + l2q. 10. Given log 59579 = 4-7750933,...
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Higher Algebra

George P. Lilley - Algebra - 1894 - 522 pages
...(m')3. 4WV Find the number of digits in the values of: 12. 312X28; 26*; 16100; (4375)8; (396000)10. Find the number of ciphers between the decimal point and the first significant figure in the values of: 13. (.2)*; (.5)100; (.05)5; (.0336)10 ; "V8100. 14. Given log x = 2.30103, find log...
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Heating and Ventilating Buildings: An Elementary Treatise

Rolla Clinton Carpenter - Heating - 1895 - 442 pages
...and is one less than the number of integral places; for a decimal number it is negative and one more than the number of ciphers between the decimal point and the first significant figure. Thus, to find the logarithm of 254, a number containing 3 integral places, the index is 2, the decimal...
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Trigonometry for Beginners

John Bascombe Lock - Logarithms - 1896 - 244 pages
...of a number less than unity is negative, and (when the number is expressed as a decimal) is one more than the number of ciphers between the decimal point and the first significant figure to the right of the decimal point. When the characteristic is negative, as for example in the . •...
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A Textbook on Mechanical Engineering ...

International Correspondence Schools - Engineering, Mechanical - 1897 - 612 pages
...less than the number of integral places in the number. For a number wholly decimal the characteristic is negative, and is numerically one greater than the...of ciphers between the decimal point and the first digit of the decimal. II. To find the Logarithm of a Number not having more than four figures. —...
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