254 LOGARITHMS. 



ber by inspection, in whkh the proper number of integers 

 is to be pointed oiF, viz. i more than the unit.j of the af- 

 firmative index. For, in findings the number answering. tp 

 any given logarithm, the index always sliews how far the 

 first ligm-e must be removed from the place of units, to 

 the left or in integers, when the index is afTirmative j but 

 to the right or in decimals, when it is negative. 



EXAMPLES. ' 



So, the number to the logarithm 1*5326525 is 34'092. 

 And the number of the logarithm — 1*5326525 is 34092. 



But if the logarithm cannot be exactly found in the tahlcy 

 take out the next greater and the next less, subtracting 

 one of these logarithms from the other, an^ also one of 

 their natural numbers from the other, and the less logar- 

 ithm from the logarithm proposed. Then say. 



As the first difference, or that of the tabular logarithms, 



Is to the difference of their natural numbers. 



So is the difference of the given logarithm and the last 



tabular logarithm 

 To their corresponding numeral difference. 

 Which being annexed to the least natural number above 

 taken, the natural number corresponding to the proposed 

 logarithm is obtained. 



EXAMPLE. 



Find the natural number answering to the given logar- 

 ithm 1*5326606. 



Here the next greater and next less tabular logarithms, 

 with their corresponding numbers, 3cc. are as below : 



Next greater 5326652 its num. 3409300 ; giv. log. 5326606 

 Next less 5326525 its num. 3409200; next less 5326525 



Differences 127 100 81 



Then, 



