...Hachette's Library, King William Street, Strand. it follows therefrom that the logarithm of the quotient equals the logarithm of the dividend, minus the logarithm of the divisor. For example, if from the logarithm of 36 we subtract the logarithm of 9, we find 0,60206, which is...

...additional exercise, U necessary-] 1- Divide 24163 by 4567SOLUT1ON Since the logarithm of the quotient equals the logarithm of the dividend minus the logarithm of the divisor, we have the following operation • log 24163 = 4-383151 log 4567 = 3-659631 0-723520 = log 5-29078,...

...additional exercise, if necessary.] 1. Divide 24163 by 4567. SOLUTION. Since the logarithm of the quotient equals the logarithm of the dividend minus the logarithm of the divisor, we have the following operation : log 241 63 = 4.383151 log 4567 = 3.659631 0.723520 = log 5.29078,...

...additional exercise, if necessary.] 1. Divide 24163 by 4567. SOLUTION. Since the logarithm of the quotient equals the logarithm of the dividend minus the logarithm of the divisor, we have the following operation : log 24163 = 4.383151 log 4567 = 3.659631 0.723520 = log 5.29078,...

...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. (" (1) 6-= yn; then, by def., log TO = x. Let ] ( (2) 6 l = n; then, by def, log n = y. (1) -5- (2) - (3)...

...\og,,'i'-=\ogan+\ogar. (a) In the same wajr, if log,,5— «, then That is, logu«rs=lo 8. THEOREM. The logarithm of the quotient of two numbers equals...the logarithm of the dividend minus the logarithm of f/tc divisor. Let n and r be any two. positive numbers and let log,i«=.v and \ognr=z. (i) Then, by...

...quantities equals the sum of their logarithms. Prin. 3. — The logarithm of the quotient of two quantities equals the logarithm of the dividend minus the logarithm of the divisor. 468. Suppose a" = m, then log. m = x. Now, (a')' = m', or a*' = nf. log. (m*) = xy = y log. m. Therefore,...

...a™+" ; hence loga (pq) = m + n ; 4. The logarithm of the quotient of one quantity divided by another equals the logarithm of the dividend minus the logarithm of the divisor. As before, let am =p and a" = q ; hence Ioga(-j= m — n = logap — Iogag. 5. The logarithm of any...

...am+n ; hence loga(pq) = m + n ; 4. The logarithm of the quotient of one quantity divided by another equals the logarithm of the dividend minus the logarithm of the divisor. As before, let a" = p and a" = q ; then ^ = ?-=a-"; q a" /p hence logj - j = m — n = logap — log„q....

...logarithm of a product equals the sum of the logarithms of the factors. II. The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor. III. The logarithm of a power equals the index of the power times the logarithm of the number. IV....