| John Bascombe Lock - 1892 - 306 páginas
...power of 2 which is equal to 32? The use of Logarithms is based upon the following propositions : — **I, The logarithm of the product of two numbers is equal to the** logarithm of one of the numbers + the logarithm of the other. For, let log. m=x and log,,ra=y, then,... | |
| William Freeland - 1895 - 309 páginas
...is > 1. 393. III. Again, if m" = a, and m' = b, we have m*+' = ab. I fence logab = x + y; that is, **the logarithm of the product of two numbers is equal to the sum of the logarithms of** its factors. 394. IV. Also if m* = a, and m? = b, m*-" = -. Hence, b log - = x — y ; that is, the... | |
| John Bascombe Lock - 1896 - 147 páginas
...8. i ,_ snn о logic 100 = 2. 120. The use of logarithms is based upon the following propositions : **I. The logarithm of the product of two numbers is equal to the** logarithm of one of the numbers plus the logarithm of the other. For, let log, m = x ; then m = b',... | |
| Andrew Wheeler Phillips, Wendell Melville Strong - 1898 - 138 páginas
...of the number m is the number .r which satisfies the equation, ax = 1n. This is written x = loga m. **The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.** Thus loga;//я = logaw + logeя. The logarithm of the quotient of two numbers is equal to the logarithm... | |
| University of Sydney - 1904
...respectively equal to a, b and c, prove that — — -^=«. ao 10. Define a logarithm and prove that **the logarithm of the product of two numbers is equal to the sum of** their logarithms. Find the value of = • — . (3-721)"tf Given log 8-4=-9243, log 6'72='8274, log... | |
| 1906
...it was not often taken. C. In TRIGONOMETRY the work was on the whole fairly good. Q. 33. Explain why **the logarithm of the product of two numbers is * equal to the sum of the logarithms of the numbers.** By means of logarithms given below, find the fifth root, and the fifth power of 0'69889 correct to... | |
| William Findlay Shunk - 1908 - 345 páginas
...lies between 10 and 100; hence its logarithm lies between 1 and 2, as does the logarithm of 74. 5. **The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.** The logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor.... | |
| 1928
[ Lo sentimos, el contenido de esta página está restringido. ] | |
| George Wentworth, David Eugene Smith - 1914 - 314 páginas
...log 0.0001 = 0. 48. log 10,000 - log 1000 + log 100,000 - log 100 = 4. 40. Logarithm of a Product. **The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.** Let A and В be the numbers, and x and y their logarithms. Then, taking 10 as the base and remembering... | |
| Charles Sumner Slichter - 1914 - 490 páginas
...by definition of a logarithm §132: loga nr = x + y or, by (1) loga nr = Iog0 n + loga r (3) Hence, **the logarithm of the product of two numbers is equal to the sum of the logarithms of** those numbers. In the same way, if log,, s =z , then: nrs = aI+"+* that is, loga nrs = loga n + logo... | |
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