 | Jeremiah Day - Measurement - 1815 - 388 pages
...the value of x, in the equation 3* =243.' Taking the logarithms of both sides log. (3*)=log. 243 But the logarithm of a power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) Therefore (log. 3) x#=log. 243; and dividmg... | |
 | Jeremiah Day - Geometry - 1824 - 440 pages
...the value of ac in the equation 3T=243? Taking the logarithms of both sides log. (3r)=log. 243 But the logarithm of a power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) Therefore (log.3)Xac=log. 243 ; and dividing... | |
 | Jeremiah Day - Logarithms - 1831 - 418 pages
...the value of .r in the equation 3*=243 ? Taking the logarithms of both sides, log. 3* = log. 243. But the logarithm of a power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) Therefore (log. 3) Xx=log. 243; and dividing... | |
 | Jeremiah Day - Measurement - 1831 - 520 pages
...the value of x in the equation 3X=243 ? Taking the logarithms of both sides, log. 3*=log. 243. But the logarithm of a power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) Therefore (log. 3) Xa;=log. 243; and dividing... | |
 | Jeremiah Day - Geometry - 1838 - 416 pages
...the value of x in the equation 3*= 243 ? Taking the logarithms of both sides, log. 3*= log. 243. But the logarithm of a power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) Therefore (log. 3)x# = log. 243; and dividing... | |
 | Jeremiah Day - Geometry - 1839 - 434 pages
...the value of x in the equation 3*= 243 1 Taking the logarithms of both sides, log. 3*= log. 243. But the logarithm of a power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) Therefore (log. 3)x# = log. 243; and dividing... | |
 | Jeremiah Day - Logarithms - 1848 - 354 pages
...the value of x in the equation 3*=243 ? Taking" the logarithms of both sides., log-. 3*=log. 243. But the logarithm of a power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) Therefore (log. 3)xx=log. 243 ; and dividing... | |
 | Jeremiah Day - Geometry - 1851 - 418 pages
...the value of x in the equation 3*= 243 ? Taking the logarithms of both sides, log. 3*= log. 243. But the logarithm of a 'power is equal to the logarithm of the root, multiplied into the index of the power. (Art. 45.) . Therefore (log. 3)xa: = log. 243 ; and dividing... | |
 | William John Macquorn Rankine - Engineering - 1866 - 356 pages
...3-57634 and so on. 29. The logarithm of a product is the sum of the logarithms of its factors. 30. The logarithm of a power is equal to the logarithm of the root multiplied by the index of the power. 31. The logarithm of a quotient is found by subtracting... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 332 pages
...3-57634 and so on. 11. The logarithm of a product is the sum of the logarithms of its factors. 12. The logarithm of a power is equal to the logarithm of the root multiplied by the index of the power. 13. The logarithm of a quotient is found by subtracting... | |
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The logarithm of a power is equal to the logarithm of the base multiplied by the exponent of the power : log ab = b log a. This follows from the fact that if 10ยก = a, then 10 
