 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 216 sider
...logarithm of the dividend minня the logarithm of the divisor. (b) Tlie logarithm of a root of a number is the logarithm of the number divided by the index of the root. That is log Y = log a — log b and log л/о = Y D n EXERCISES By means of logarithms approximate... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 520 sider
...logarithm of the dividend minus the logarithm of the divisor. (b) The logarithm of a root of a number is the logarithm of the number divided by the index of the root. That is log 2 = loga — log b and log л/о = D П EXERCISES By means of logarithms approximate the... | |
 | Levi Leonard Conant - 1909 - 290 sider
...number multiplied by the index of the power. PROOF. mv = (10*)" = 10*y. .'. log mv = xy = y log m. 5. The logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. x PROOF. VTO = Vl& = 10". , y, — X log m .'. logvm = - = — — . yy 6. The logarithm of any integral... | |
 | Levi Leonard Conant - 1909 - 320 sider
...number multiplied by the index of the power. PROOF. m? = (10*)" = 10*». .'. log m v = xy = y log m. 5. The logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. i -?/— —® — log m yy ' X 6. The logarithm of any integral power or root of 10 is an integral... | |
 | Arthur Graham Hall, Fred Goodrich Frink - 1909 - 264 sider
...then n = a*. Hence, np = (a1)" = ap* or, log« (n'») = px = p loga n. (3) IV. The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. For, if x = loga n, then n = ax. Extracting the <?th root of both members, we get V71 = яi, whence,... | |
 | Arthur Graham Hall, Fred Goodrich Frink - 1909 - 272 sider
...then n = ax. Hence, np = (a1)»1 = apx or, loga (n?) =px = p log« n. * (3) IV. The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. For, if x = loga и, then n = a". Extracting the qth root of both members, we get = a«, whence, log«... | |
 | Charles E. Larard, Henry A. Golding - 1909 - 508 sider
...logarithm of the number itself multiplied by the index of the power, and also that the logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. This is the mathematical principle underlying the determination of powers and roots by means of the... | |
 | Stimson Joseph Brown, Paul Capron - 1910 - 212 sider
...power. Let m=bx, or log6m=a;,then TOn = (bx)n = bnx, or logs mn = n- logs TO. VI. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. Let TO = bx, or Iog6 m = x; then or Iog6 (m^) = ]-°g^. n VII. The logarithm of a proper fraction is always... | |
 | William Charles Brenke - 1910 - 374 sider
...of the power times the. logarithm of the number.. IV. The logarithm of any root of à number equals the logarithm of the number divided by the index of the root. (Rule III contains rule IV, since the power in question may be fractional.) 40. The following facts... | |
 | Herbert E. Cobb - 1911 - 296 sider
...IV. log V3 = log 3* = £ log 3. -v/3 = 3* = (l0 °-4771 )* = 10°- 2888 = 1.732. The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. PROBLEMS 1. Multiply 28.34 by 3.376. log 28.34 = 1. log 3.376 = 0. Before finding the mantissas from... | |
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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
