 | Edward Olney - Algebra - 1873 - 354 pages
...roots of large numbers. These processes are performed upon the following principles : 178. Prop. 1. — The logarithm of the product of two numbers is the sum of their logarithms. DEM. — Let a be the base of the system. Let m and n be any two numbers whose logarithms... | |
 | Edward Atkins - 1874 - 428 pages
...characteristics of the logarithms of -3, -0076, -02535, -7687, are respectively - 1, - 3, - 2, — 1. 22. The logarithm of the PRODUCT of two numbers is the SUM of the logarithms of the numbers. Let m and n be the numbers, and let a be the base. Since m and n must be each some power of a, integral... | |
 | Edward Atkins - Mathematics - 1876 - 378 pages
...characteristics of the logarithms of -3, -007G, •02535, -7687, are respectively - 1, - 3, - 2, - 1. 152. The logarithm of the PRODUCT of two numbers is the SUM of the logarithms of the numbers. Let m and n be the numbers, and. let a be the base. Since m and n must be each some power of a, integral... | |
 | Edward Olney - 1878 - 360 pages
...roots of large numbers. These processes are performed upon the following principles : 178. Prop. 1. — The logarithm of the product of two numbers is the sum of their logarithms. DEM.— Let a be the base of the system. Let m and n be any two numbers whose logarithms... | |
 | Edward Olney - Algebra - 1880 - 354 pages
...roots of large numbers. These processes are performed upon the following principles : 178. Prop. 1. — The logarithm of the product of two numbers is the sum of their logarithms. DEM. — Let n be the base of the system. Let in and n be any two numbers whose logarithms... | |
 | Edward Olney - Algebra - 1882 - 358 pages
...roots of large numbers. These processes are performed upon the following principles : 178. Prop. 1, — The logarithm of the product of two numbers is the sum of their logarithms. DEM. — Let a be the base of the system. Let то and n be any two numbers whose... | |
 | Dublin city, univ - 1883 - 510 pages
...bisectors of the sides, each to two decimal places. 6. Find the value of T/S + VI _ ys - V3 1. Prove that the logarithm of the product of two numbers is the sum of their logarithms. Given log 2 = .30103, log 3 = .47712, find the logarithm oi\/i8. 8. Solve the simultaneous... | |
 | Sir Richard Glazebrook, Sir W. N. Shaw - Physics - 1893 - 668 pages
...rapidly various arithmetical operations. Its action depends in the main on the two principles that the logarithm of the product of two numbers is the sum of the logarithms of its factors, and that the logarithm of the Hth power of a number is « times the logarithm of the number.... | |
 | Herbert Edwin Hawkes - Algebra - 1905 - 314 pages
...that have made the use of logarithms the most helpful aid in computations that is known. THEOREM I. The logarithm of the product of two numbers is the sum of their logarithms. Let Iog6 a = x, logb с = VThen Ъу (1) and (2), p. 236, bх = a, lv = c. Multiply... | |
 | Frank Moulton Saxelby - Mathematics - 1910 - 238 pages
...3'io2 =o-5. 65. The three laws of indices given in § 58 may now be expressed in logarithmic form. I. The logarithm of the product of two numbers is the sum of their logarithms. If we wish to multiply two numbers expressed as powers of 1o we must add the indices... | |
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... that the logarithm of the product of two numbers is the sum of the logarithms of the numbers. 
