...logj 1=0. Eg, log2 4 = 2, and log2 \ = — 2. 10. The logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the exponent of the power ; or =/> 1og/n. Let logj m = x, then b* = m. Raising both sides of the last equation to...

...logarithms. Since logarithms are simply exponents, it follows that: 472. PRINCIPLE. — The logarithm of a power of a number is equal to the logarithm of the number multiplied by the index of the power; that is, To any base, log m" = n log m. The above principle may be established...

...logj 1=0. Eg, log, 4 = 2, and log2 i = - 2. 10. The logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the exponent of the power ; or log m" = p log m. Let logj m = x, then b* = m. Raising both sides of the last equation...

...logi 1=0. Eg, logs 4 = 2, and Iog2 J = - 2. 19. 27ге logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the exponent of the power; or, log (m") = p log m. Let logi m = x, then bf = m. Raising both sides of the last equation...

...1=0. E. д., Iog2 4 = 2, and Iog2 J = - 2. 10. Tlie logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the t of the power; or log m" = p log m. Let logj m = x, then b* = m. Raising both sides of the last equation...

...1=0. jB.gr., logj 4 = 2, and Iog2 \ = - 2. 19. Tfie logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the ex2)onent of the power; or, log (m") = p log m. Let logi m = x, then b* = m. Raising both sides of...

...-- 400 x .005 3.24 -s- 65 4.9 x(-306) x 48.3 6.32 x 7832' 100 x 2.9 x .081 481. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Thus, 100" = (102)3 = 102*3 = 106. .'. log 1003 = 2x3 = 6. In general, if log m = x and...

...Then loga — - = x — y n Substituting for x and y their values, og, m — loga H 63. In any system the logarithm of the power of a number is equal to the exponent of the power multiplied by the logarithm of the number. Assume ax ;=: m (1), then loga m =...

...a*-v. Hence loga(M- N) = x — y = logaM — \ogaN. (iii) The logarithm of any power of an arithmetic number is equal to the logarithm of the number multiplied by the exponent of the power. Let Ж = a1. Then, for all real values of p, we have Mp = aï». Hence loga (M*) = px=p...

...(AT •*• N) = x — y = log«, Af - loga.2v". (iii) The logarithm of any power of an arithmetic number is equal to the logarithm of the number multiplied by the exponent of the power. Let M = a*. Then, for all real values of p, we have M" = ai.*. Hence loga (Mp) = px =...