| University of Sydney - 1904
...are 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 3'721=-5707, 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... | |
| 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... | |
| 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... | |
| 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... | |
| George Wentworth, David Eugene Smith - 1915 - 230 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** к«т of the logaritJinis of the numbers. Let A and В be the numbers, and x and y their logarithms.... | |
| George Neander Bauer, William Ellsworth Brooke - 1917 - 313 páginas
...illustrated is peculiar to the system of logarithms of which 10 is the base. 4. Laws of logarithms. (a) **The logarithm of the product of two numbers is equal to the sum of** the logarithms of the numbers. Given a* = m (1) or Iog0 m = x (3) a" = и (2) or loga n = y. (4) From... | |
| ARTHUR SULLIVAN GALE, CHARLES WILLIAM WATKEYS - 1920
...easily deduced from the corresponding properties of the exponential function as follows: 7. Theorem. **The logarithm of the product of two numbers is equal to the sum of** the logarithms of the numbers. Let p = bmj whence Iog6 p = m, and q = bn, whence log& q = n. Then pq... | |
| 1909
...Omit one question from each of the groups A, B, C. A. 1. (a) Logi 64=3: find the value of a. (6) Prove **that the logarithm of the product of two numbers is equal to the sum of** the logarithms of the numbers. 2. Prove the identity (sin 0+cos 8) (tan 0+cot 6) =sec 0+cosec 0 3.... | |
| Warren Clarence Young - 1962 - 91 páginas
...expressed, it is understood to be 10. Pages 60-64. The first property of logarithms given above states **that the logarithm of the product of two numbers is equal to the sum of** the logarithms of the two numbers. If you read these pages carefully, you will see that when you multiply... | |
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