...of the several factors. For, MX Л7" = am X a" = am + s. .'. loga(MXN) = m + п = lо«„М+ logaN. Similarly for the product of three or more factors....logarithm of the quotient of two positive numbers is fourni by subtract h1 gt/ie logarithm_ of the divisor from tin; logarithm of the dividend. M am 6....

...numbers is found by adding together the logarithms of the several factors. For, M XN=am X a* = am + n. Similarly for the product of three or more factors....the divisor from the logarithm of the dividend. M am F°r' N = ^=am~n.-. logn ( — J = m - n = loga Ж-— loga-ZV. 6. The logarithm of a power of a...

...numbers is found by adding together the logarithms of the several factors. For, M XN=amXa" = am + n. Similarly for the product of three or more factors....of the divisor from the logarithm of the dividend. "RV,r — — _ — n" — * °r' ~"6. The logarithm of a power of a positive number is found by multiplying...

...47000=4.6720979 " 200000=5.3010300; " 47000000=7.6720979 266. The logarithm of a quotient, is obtained by subtracting the logarithm of the divisor from the logarithm of the dividend. For this purpose, also, we consider all fractions as expressions of division. It therefore follows...

...(5) Since - — — = a1""", therefore, v ' y a" loga I - J = m — n = logax — log,,*/. That is, The logarithm of the quotient of two positive numbers...of the divisor from the logarithm of the dividend. (6) Since xp = (an)p = anp, therefore, loga (xf) = np =p logaa;. That is, The logarithm of a power...

...14. 6-325, 40-83, and -00253. Division by logarithms. — The logarithm of the quotient is obtained by subtracting the logarithm of the divisor from the logarithm of the dividend; the number corresponding to this logarithm found on reference to the table of antilogarithms is the...

...1-0305. (iv) a = 125000, 6=-00005. Division by Logarithms. — The logarithm of a quotient ù obtained by subtracting the logarithm of the divisor from the logarithm of the dividend; the number corresponding to this logarithm, found on reference to the table of anfiloc/arithm-s, is...

...logarithms of the several factors. For, M XN=amX an = am + n. /. loga (MXN) = m + n = loga M + loëaN. Similarly for the product of three or more factors....of the divisor from the logarithm of the dividend. Ж am F0r' N = ^=a • .'. Ioga ( — J = m — n = 1o^aЖ— \ogaN. 6. The logarithm of a power of...

...is equivalent to adding 'it with its sign changed, it follows that : 470. PRINCIPLE. — Instead of subtracting the logarithm of the divisor from the logarithm of the dividend, the cologarithm of the divisor may be added to the logarithm, of the dividend; that is, To any base,...

...logarithms of the several factors. For, MXN = am x a" = am + *. .'. loga (MX JV) = m + n = loga Л/ + logaN. Similarly for the product of three or more factors....of the divisor from the logarithm of the dividend. *f jfj = m - n = ••• bg« jfj = m - n = logaAf - logaN. 6. The logarithm of a power of a positive...