| Richard E. Klosterman - 1990 - 298 páginas
...following laws of logarithms can be applied to the logarithms of products, ratios, and exponents: 1 . The logarithm of the product of two numbers is equal to the sum of their logarithms: log (ab) = log a + log b For example, log (10 x 100) = log (10) + log (100) log (1,000)... | |
| 1992 - 270 páginas
...of the positive logarithm. 12.8686—10 3.7980—10 9.0706 121. Multiplication by Use of Logarithms The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Thus, log (2 x 6) = log 2 + log 6; and log (12 X 8) = log 12 + log 8. Example 1 : Multiply 68.2 by... | |
| Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 páginas
...of a right-angled triangle, in which the perpendicular is 127 and the hypotenuse 325. 9. Prove that the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers themselves. Find A, when 10 tan A = 7 sin 15° 30'. 10. In the triangle ABC, if B = 57° 45', C = 105°... | |
| Rehana Khan - 2007 - 328 páginas
...substitute for the term "index", the laws of logarithms can be easily deduced from the laws of indices. /. Logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers to quantities, Le.. Proof. Let loga m = x so that of = m ...(I) and loga n = y so that c^ = n ...(2)... | |
| 890 páginas
...always positive and not equal to one. 4.2. Laws of logarithm (i) logu (mx /i) = logam + log,/! ie, the logarithm of the product of two numbers is equal to the sum of their logarithms. Proof : Let logam = x and loga/i = у :. a? = m ... (1) and a? = n ... (2). Multiplying... | |
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