248 



LOGARITHMS* 



Example 2. To compute the logaritlim of the number a* 



Here h'zzi,, the next less number aiZ2y and the sum 

 c-|-^rz5:i:j-, whose square s^ is 25, to divide by which, 

 always multiply by '04. Then the operation is as follows i 



5)-868588964 



25) 6948712 

 277948 



25) 

 ^5) 



nii8 



445 

 18 



II 



i)-i737i77^3(-i737i7703 



3) 69487i2( 2316237 



277948( 



iiii8( 



445( 

 I8( 



5) 

 7) 

 9) 



5559^ 

 1588 



5^ 

 2 



Log. of -|- '176091260 

 Log. of 2 add '301029995 



Log. of 3 sought '477121255 



Then, because the sum of the logarithms of numbers 

 gives the logarithm of their product, and the difrerence of 

 the logarithms gives the logarithm of the quotient of the 

 numbers, from the above two logarithms, and the logar-* 

 ithm of 10, which is i, we may raise a great many log* 

 arithms, as in the following examples : 



Example 3. 

 because 2 X 2 zz 4, therefore 

 To logarithm 2 •3010299954- 

 Add logarithm 2 '301029995-1- 



B( 



Sum is logarithm 4*602059991-^ 



Example 4. 

 Because 2 X 3 1:1 6, therefore 

 To logarithm a '30102999^ 

 Add logarithm 3 -4771212^5 



Sum is logarithm 6*77815 1250. 



Ez>5Ml»LE 



