...the number multiplied by the index of the power. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. Or, expressed in formulas, log ¿ X .B = log ¿ + logB, log = logA-logB, log A- =n log Л, log i/2...

...let a; = log„m. .-. m = az. .-. logamp = px= (7) The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. For let a;=logam. .-. m = a*. I » .-. mг = aг. - x I .: log(mг) = - = -logam. rr It follows from...

...the number multiplied by the exponent of the power ; and the logarithm of any root of a number equals the logarithm of the number divided by the index of the root. 340. From the principles proved above, we see that by the use of logarithms the operations of multiplication...

...the number multiplied by the exponent of the power. (4) The logarithm of any root of a number equals the logarithm of the number divided by the index of the root. 143. The Arithmetwal Complement of a logarithm is the remainder after subtracting the logarithm from...

...the number multiplied by the exponent of the power. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. For the investigations of these rules the student is referred to the " Treatise on Trigonometry," p....

...number multiplied by the exponent of the power. The logarithm of any root of a number- is equal to the logarithm of the number divided by the index of the root. For the investigations of these rules the student is referred to the " Treatise on Trigonometry," p....

...number multiplied by the exponent of the power. IV. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. 3. The only kind of logarithms with which we have to do here are those in which the assumed number,...

...number multiplied by the exponent of the power. IV. The logarithm, of a root of a number is equal to the logarithm of the number divided by the index of the root. 3. The only kind of logarithms with which we have to do here are those in which the assumed number,...

...1), logai=pa', or by (A), log a" =px loga. 5. lV. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. For, Art. 2, • V(f), .Vä = l 0"r . r - a' .•. (Art. 1), logVä = — > or by (A), log л/а =...

...exponent is a positive fraction whose numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of the number divided by the index of the root. For, logj (m') = - log m = 1 1 Eg, If Iog7 2401 = 4, what is Iog7 V2401 ? We have log7V2401 =|log7...