 The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log  Trigonometry - Page 31by Arthur Graham Hall, Fred Goodrich Frink - 1909 - 239 pagesFull view - About this book
 | John Charles Snowball - 1837 - 322 pages
...the logarithms of the several factors, we obtain the product of those factors. 5. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. For a " =-=V n a1a?1 .-. la (— I => la»и- \аП. \П I r log I - J = log m — log n. Hence, if... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...the factors, taken separately. 2. The logarithm of the quotient of one number by another, is ci/ual to the logarithm of the dividend, minus the logarithm of the divisor. 3. The logarithm of any power oj a. quantity, is equal to the product of the logarithm of the quantity... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...I -— 1 ; that is, The logarithm of the quotient which arises from dividing one number by another is equal to the logarithm of the dividend minus the logarithm of the divisor. 232i If we raise both members of equation (1) to the «'* power, we have, a*.' = N'n (5). But from... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...substituting these values in the last logarithmic equation, we have, considering that the logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor, log. (»+i>- log. B=2ar(^+^^+-pL—5.+fa,. ;)or log (w+1)= log. w+2M(-Li + 3-^-j. -H This last equation... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...definition, j that is, The logarithm of the quotient which arises from dividing on' number by another is equal to the logarithm of the dividend minus the logarithm of the divisor. 232i If we raise both members of equation (1) to the n'* power, we have, a«' = N'a ..... (5). But... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...(N' \ -]yr)-> that is, The logarithm of the quotient which arises from dividing one number by another is equal to the logarithm of the dividend minus the logarithm of tin divisor. 232t If we raise both members of equation (1) to the nth power, we have, But from the... | |
 | Aaron Schuyler - Measurement - 1873 - 508 pages
...Am. 1.03062. DIVISION BY LOGARITHMS. 16. Proposition. The logarithm of the quotient of two mimbers is equal to the logarithm of the dividend minus the logarithm of the divisor. (" (1) 6*= m; then, by def., log m = x. Let -j ^(2) b1-n; then, by def, log n = y. . (1) -*- (2) =... | |
 | Aaron Schuyler - Navigation - 1873 - 536 pages
...A»a. 1.03068. DIVISION BY LOGAEITHMS. 16. Proposition. The logarithm of the quotient of two KMM&CTT it equal to the logarithm of the dividend minus the logarithm of the divisor. • (1) 6•= TO; then, bv del. log » = z. Let ' I (2) 6 • = n; then, by de£. log n = y. = "; then,byde£,... | |
 | Carl Bremiker - Logarithms - 1875 - 544 pages
...two factors taken separately. Further, the logarithm of the quotient of one number divided by another is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of the power of any quantity is equal to the product of the logarithm of the quantity... | |
 | Aaron Schuyler - Measurement - 1875 - 284 pages
...Ans. 1.03062. DIVISION BY LOGARITHMS. 16. Proposition. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Г (1) b" = m; then, by def., log m = x. Let i. (_ (2) b * — - n; then, by def., log n — у. (1)... | |
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