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" The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the... "
Elementary Practical Mathematics - Page 149
by Frank Castle - 1899 - 404 pages
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The shipwright's vade-mecum [by D. Steel].

David Steel - 1805 - 392 pages
...424 253 40312 1.35736 35736 is the logarithm of 2277, the Answer. DIVISION BY LOGARITHMS. SUBTRACT the logarithm of the divisor from the logarithm of the dividend ; the difference is the logarithm of the quotient. Divide 477 by 3. Logarithm of 477 .67852 3 47712 20140...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 4

William Nicholson - 1809 - 734 pages
...Multiplicand.. 8.5 0.9Î94189 Multiplier 10 1.0000000 Product 85 1. 9294189 And in division, subtract the logarithm of the divisor from the logarithm of the dividend, the remainder is the logarithm of the quotient. num. Injiarillirm. Example. Dividend.. 971S.8 3.9073144...
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

Arithmetic - 1818 - 264 pages
...divided by 1000. Hence it. is manifest, that. A POWER may be divided by another power of the same root, by subtracting the logarithm of the divisor, from the logarithm of the dividend. So also if the logarithm of any number be multiplied by the index of its power, the product will be...
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - Arithmetic - 1818 - 602 pages
...7.812913 Product 0.04628 log. —2.665393 8.665393 TO PERFORM DIVISION BY LOGARITHMS. RULE. Subtract the logarithm of the divisor from the logarithm of the dividend, the remainder is the logarithm of the quotient. EXAMPLE I. Divide 25768 by 364. Dividend 25768 log. 4.411081...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 7

William Nicholson - Natural history - 1821 - 406 pages
...Example. Multiplicand 8.5 0.9294189 Multiplier 10 lO^OOOOO Product 85 1.9294189 And in division, subtract the logarithm of the divisor from the logarithm of the dividend, the remainder is the logarithm of the quotient. num. logarithms. Example. Dividend...9712.8 3.9873444 Divisor...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 7

William Nicholson - Natural history - 1821 - 408 pages
...Example. Multiplicand 8.5 0.9294189 Multiplier 10 l.OUOOOOO Product 85 1.9294189 And in division, subtract the logarithm of the divisor from the logarithm of the dividend, the remainder is the logarithm of the quotient. num. Example. Dividend...9712.8 Divisor .456 logarithms....
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A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - Arithmetic - 1822 - 436 pages
...L,og. 5,4086215 • DIVISION OF LOGARITHMS. To divide one number by another is nothing but to subtract the logarithm of the divisor from the logarithm of the dividend, the remainder is the logarithm of the quotient. EXAMPLE. Divide 1728 Log. 3,2375437 >., By 13 - Log. 1.0791312...
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...seventh root of 128. 23 1. To find the quotient of the division of one number by another, subtract the logarithm of the divisor from the logarithm of the dividend ; the number that corresponds to the logarithm of the remainder, will be the quotient. For example, if it be required...
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An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ...

Dionysius Lardner - Plane trigonometry - 1828 - 434 pages
...be divided by another, n But also, n' That is, " the logarithm of the quote of two numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend." Thus, in general, • • • •) -(Im+lm' + lm" • • • •)• ,,, = mmm"m" therefore be thus...
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The Edinburgh encyclopaedia, conducted by D. Brewster, Volume 13

Edinburgh encyclopaedia - 1830 - 842 pages
...the third exam* pie, and therefore the index is negative. DIVISION BY LOGARITHMS. RULE. — Subtract the logarithm of the divisor from the logarithm of the dividend ; the remainder is the logarithm of the quotient, and the corresponding number is the quotient. Observing...
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