 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1893 - 434 sider
...is, loga (Jff) 1 i Similarly, log0(Jfr) = 159. It follows from the results we have proved that (1) the logarithm of a product is equal to the sum of the logarithms of its factors ; (2) the logarithm of a fraction is equal to the logarithm of the numerator diminished by the logarithm... | |
 | Edward Albert Bowser - 1895 - 124 sider
...Trigonometry are very much abbreviated by the aid of logarithms. The rulee for their use are as follows : The logarithm of a product is equal to the sum of the logarithms of its factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.... | |
 | Edward Mann Langley - 1895 - 200 sider
...theorems on which the practical rules for working with logarithms depend are аз follows : — I. The logarithm of a product is equal to the sum of the logarithms of its factors. Thus log 28 = log 4 + log 7 ; and generally log (ab) = log a + log b. II. The logarithm of a quotient... | |
 | Edward Albert Bowser - 1908 - 128 sider
...Trigonometry are тегу much abbreviated by the aid of logarithms. The rules for their use are as follows : The logarithm of a product is equal to the sum of the logarithms of its factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.... | |
 | Webster Wells - 1896 - 308 sider
...approaches the limit 0, its logarithm is negative, and increases without limit in absolute value. 75. In any system, the logarithm of a product is equal...logarithms of its factors. Assume the equations a* = m ) , , . <x = loga m, [ ; whence by § 66, x , a" = ni ' J \y= loga»i. Multiplying the assumed equations,... | |
 | Webster Wells - 1907 - 140 sider
...approaches the limit 0, its logarithm is negative, and increases without limit in absolute value. ^ 75. In any system, the logarithm of a product is equal...logarithms of its factors. Assume the equations 'a; = logam, a' = m) , , . „ . (x = Í- ; whence by § 66, -j o» = » f ' J (y = Multiplying the assumed... | |
 | Webster Wells - 1896 - 240 sider
...approaches the limit 0, its logarithm is negative, and increases without limit in absolute value. 75. In any system, the logarithm of a product is equal...the logarithms of its factors. Assume the equations а* = m) , , fx = [ ; whence by § 66, ] ai = n ) (# = Multiplying the assumed equations, a* x ar =... | |
 | Joe Garner Estill - 1896 - 186 sider
...hold in logarithms, and are the very principles which make logaritluns serviceable ; as follows : I. The logarithm of a product is equal to the sum of the logarithms of its factors. II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the... | |
 | Joe Garner Estill - 1896 - 214 sider
...hold in logarithms, and are the very principles which make logarithms serviceable ; as follows : I. The logarithm of a product is equal to the sum of the logarithms of its factors. II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the... | |
 | Emerson Elbridge White - 1896 - 418 sider
...together (1) and (2) member by member, we have a"+» = mn ; whence x + y = log mn, by definition. Hence the logarithm of a product is equal to the sum of the logarithms of the factors. 691. Dividing (1) by (2) member by member, we have whence x — y = log — fit 1 lenco... | |
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The logarithm of a product is equal to the sum of the logarithms of its factors. 
