X a" = am+". .'. log. (MX N) = m + n — log. M + log. N. Similarly for the product of three or more factors. (5) The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend.... Five-place Logarithmic and Trigonometric Tables - Page 116by George Albert Wentworth, George Anthony Hill - 1903 - 75 pagesFull view - About this book
| George Albert Wentworth - Trigonometry - 1902 - 256 pages
...of the several factors. For, M x N = am x a" = am + ". .'. loga(M x N) = m + n = logaAf + l'og,,^. Similarly for the product of three or more factors....of the divisor from the logarithm of the dividend, .'. log0 ( - J = mn = logaM - loga^T. 6. The logarithm of a power of a positive number is found by... | |
| George Albert Wentworth - Plane trigonometry - 1902 - 286 pages
...of the several factors. For, M x N = am x a" = ащ+". .'. loga(M x Щ = m + n = log„M + ïogaN. Similarly for the product of three or more factors....of the divisor from the logarithm of the dividend. f-?-~ .'. Iog0 ( — J = m — n = log„M — logaN. 6. The logarithm of a power of a positive number... | |
| George Albert Wentworth - Algebra - 1902 - 544 pages
...the several factors. For, Mx N = am x a" = am+: .,. log„(A/ x Л') = m + n = log„.V + 1JV. Similarly for the product of three or more factors....logarithm of the quotient of two positive numbers is the remainder found by subtracting the logarithm of the divisor from the. logarithm of the dividend.... | |
| George Albert Wentworth - Algebra - 1902 - 548 pages
...of three or more factors. 5. The logarithm of the quotient of two positive numbers is the remainder found by subtracting the logarithm, of the divisor from the logarithm of the dividend. M (im •'• log,, — = m, -n = loga.1/ - logaN. 6. The logarithm of a power of a positive number is... | |
| George Albert Wentworth - Algebra - 1902 - 556 pages
...of three or more factors. 5. The logarithm of the quotient of two positive numbers is the remainder found by subtracting the logarithm of the divisor from the logarithm of the dividend. For, ' £ = £ = a--. N a" M •'• l°ga — = m — n = logaM — loga.2\r. 6. The logarithm of... | |
| George Albert Wentworth - Trigonometry - 1903 - 346 pages
...several factors. For, M X N = a m x a" = a m + ". .-. \og a (M x A") = m + n = log a M + log a A " . Similarly for the product of three or more factors. 5. The logarithm of the quotient of two positire numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend.... | |
| George Albert Wentworth - Plane trigonometry - 1903 - 184 pages
...the several factors. For, M x -V == am x ч" = nm + ". .'. \oga(MX -V) = m + n = log,, Л/ + loga,V. Similarly for the product of three or more factors. 5. The logarithm of tl<e quotient of two positive numbers is found by subtracting the, logarithm of the divisor from the... | |
| George Lisle - Accounting - 1904 - 526 pages
...product of several numbers is found by addingtogether their logarithms. (2) The logarithm of a quotient is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (3) The logarithm of a number raised to a given power is found by multiplying the logarithm of the... | |
| Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1912 - 494 pages
...Since division is the inverse of multiplication, the logarithm of a fraction or quotient is obtained by subtracting the logarithm of the divisor from the logarithm of the dividend. 372. Model Solution. Below are simple ways of performing the various computations by logarithms. Powers:... | |
| Samuel Lawrence Bigelow - Chemistry, Physical and theoretical - 1912 - 568 pages
...logarithms of the numbers. Second. The logarithm of the quotient of two positive numbers is obtained by subtracting the logarithm of the divisor from the logarithm of the dividend. Third. The logarithm of a power of a positive number is found by multiplying the logarithm of the number... | |
| |