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" The characteristic of the logarithm of a number greater than one is positive, and is one less than the number of digits in the integral part of the number. "
Plane Trigonometry - Page 178
by Levi Leonard Conant - 1909 - 183 pages
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Naval Architect's & Shipbuilder's Pocket-book ...: With a Section on Aeronautics

Clement Mackrow - Naval architecture - 1916 - 766 pages
...and the decimal part its mantissa, To FIND THE LOGARITHM OF A NUMBER. RULE. — The characteristic is one less than the number of digits in the integral part of the number ; when there is no integral part, the characteristic is negative and is numerically one more than the...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - Trigonometry - 1918 - 168 pages
...integral digits 2 Whence we formulate the law : Tlie characteristic of tlu-, logarithm of a number is one less than the number of digits in the integral part of the number. On the other hand, we observe from the table of this article that if a number contain no integral digits,...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - Trigonometry - 1918 - 176 pages
...3 integral digits 2 Whence we formulate the law : TJie characteristic of the logarithm of a number is one less than the number of digits in the integral part of the number. On the other hand, we observe from the table of this article that if a number contain no integral digits,...
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A First Course in Higher Albegra

Helen Abbot Merrill - Algebra - 1917 - 282 pages
...the same. Theorem 2. If a number is greater than unity, its logarithm has a characteristic less by 1 than the number of digits in the integral part of the number. For, if a number lies between 1 and 10, its logarithm lies between 0 and 1 ; if between 10 and 100,...
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Mathematics of Finance

Lloyd Leroy Smail - Finance - 1925 - 338 pages
...determined by the following rule: I. The characteristic of the logarithm of any number greater than 1 is positive and is one less than the number of digits in the integral part of the number, or to the left of the decimal point. Number of Characteristic Powers Logarithms digits in of 10° =...
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Comprehensive Objective Physics

Narinder Kumar, Dr. J. K. Juneja - 2006 - 1854 pages
...antilog x. Let us find the number whose logarithm is 1.5548. Characteristic of logarithm is 1. This is 1 less than the number of digits in the integral part of the required number. So, the number of digits in the integral part of the required number is 1 + 1, ie,...
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A Textbook of Quantitative Techniques

N. P. Bali, P. N. Gupta, C. P. Gandhi - Business mathematics - 2007 - 786 pages
...FOR SOLVING PROBLEMS I. Characteristic of log 1 is 0. II. If x > 1, then the characteristic of log x is one less than the number of digits in the integral part of x. III. If 0 < x < 1, then the characteristic of log x is negative and one more than the number of...
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Statistics and Management

P N Arora & S Arora - Business & Economics - 2009 - 486 pages
...characteristic by inspection. (a) Rule 1 : The characteristic of the 'ogarithm of a number greater than unity is positive and is one less than the number of digits in the integral part of the numbers. Exp!;. nation As we have 10° = 1 .-. log,0l = 0 10' = 10 log,010=l 102 = 100 log,0100 = 2...
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Comprehensive Mathematics XI

1242 pages
...characteristIc of the logarithm of the number under consideration. (i) If x> 1, then characteristic of log x is one less than the number of digits in the integral part of x. (ii) If 0 < x < 1, then the characteristic of log x is the negative of one more than the number...
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Cambridge Intermediate Mathematics Algebra Part1

172 pages
...obtained : log 51-07 = 1-7082, log 5-318= -7257, log 549900 = 5-7403, the whole number being always one less than the number of digits in the integral part of the given quantity. Consider now the log of '5499. •5499= 5-499 -r 10 = 10-'2597. Caution! The decimals...
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