...tho next place to the left. For example, 10 < 48.7 < 100, 0.001 < 0.00487 <0.01, &c. Then, by § 8, the logarithm of a number which is not an integral power of 10 lies between the two successive integers which are the logarithms of the integral powers determined...

...2 or 8 —10 . log 0.00274 = 7 + a decimal — 10 . log 0.001 = — 3 or 7 — 10 67. From Art. 66 we see that the logarithm of a number which is not...integral power of 10 is an integer plus a decimal. Thus, 796 is between 102 and 103, therefore its logarithm is between 2 and 3, and is 2 -(- a decimal....

...logarithm of a number more than 100 and less than 1000 is 2 plus a fraction. The problem of finding the logarithm of a number which is not an integral power of 10 can be accomplished by the principle already made use of in extending the table of logarithms to base...

...1,000,000 = 6 The logarithm of an integral power of 10 is an integer, either positive or negative. The logarithm of a number which is not an integral power of 10 lies between two integers and must be expressed, either exactly or approximately, as an integer plus...