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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... "
Hints to Travellers: Scientific and General - Page 73
by Royal Geographical Society (Great Britain) - 1906
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Arithmetick Both in the Theory and Practice: Made Plain and Easie in All the ...

John Hill - Arithmetic - 1716 - 496 pages
...Logarithms. Tp divide one Number by another, is no.th'mg but to Snbtraift the Logarithm of the Divifor from the Logarithm of the Dividend, the Remainder is the Logarithm of the Qaotient. Ц.ХАМ...j EX AMP LES. I. Divide '7*8 Log. 3.1375437 ?„ .By ix Log. i.o79I8ii$ôubtraâ;'...
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Arithmetic, Both in the Theory and Practice: Made Plain and Easy in All ...

John Hill - Arithmetic - 1765 - 428 pages
...Logarithms. To divide one number by another, is nothing but: to fubtract the logarithm of the divifor from the logarithm of the dividend, the remainder is the logarithm of the quotient. L Divide By EXAMPLE & 1728 Log. 3.2375437] 12 Log. 1.079181 25 Quotes M4 Log. 2.15*53625 II, Divide...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - 1771 - 342 pages
...Multiply 79.8 by 2.79. 8. To perform divifion by logarithms. Subtrafl the logarithm of the divifor from the logarithm of the dividend, the remainder is the logarithm of the quotient. EXAM. i. Divide 25768 4.4110807 By 364 2.5611014 Quotient 70.7912 1.8499793 2. Divide 476954 by 89.5...
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A Complete System of Land-surveying: Both in Theory and Practice ...

Thomas Breaks - Logarithms - 1771 - 646 pages
...the Logarithms of the Dividend and Divifor be both negative, Aibtrafl the Logarithm of the Divifor from the Logarithm of the Dividend, the Remainder is the Logarithm of the Quotient ; if you borrow io, pay it again to the Index of the Ditifor affirmatively. Divide By EXAMPLE I. Quotient,...
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An Introduction to Merchandize: Containing a Compleat System of Arithmetic ...

Robert Hamilton - Business mathematics - 1777 - 740 pages
...above J to. 76. Problem IV. To perform dirifion by logarithms ; Subtract the logarithm of the divifor from the logarithm of the dividend ; 'the, remainder is the logarithm of the quotient. Ex. Divide 8928 by Log. of 8928 = 3.950754 Log. of 279 = 2.445604 Quotient 32 1.505150 This rule is...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - Logarithms - 1779 - 476 pages
...Multiply 79.8 by 2.79. 8. To perform divifion by logarithms. Subirait the logarithm of the divifor from the logarithm of the dividend, the remainder is the logarithm of the quotient. EXAM. i. Divide 25768 4.4110807 By 364 2-5611014 Quotient 70.7912 1.8499793 2. Divide 476954 by 89.5....
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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...dividend, the remainder is the logarithm of the quotient. num. Injiarillirm. Example. Dividend.. 971S.8 3.9073144 Divisor.... 456 2.^.589648 Quotient.. 21..-1...
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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...dividend, the remainder is the logarithm of the quotient. EXAMPLE I. Divide 25768 by 364. Dividend 25768 log. 4.411081 Divisor 364 log. 2.561101 Quotient 70.7912...
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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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