Logarithms-24

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Using logarithms, evaluate : (i) √8.76 (ii) (0.02467) 2 / 3

Solution :

(i) Let x = √8.76 = (8.76) 1 / 2

=> log x = 1 / 2 log 8.76

= (1 / 2) X 0.9425

= 0.47125

= 0.4713

x = antilog 0.4713

= 2.960

(ii) Let x = (0.02467) 2 / 3

=> log x = 2 / 3 log 0.02467

= 2 / 3 X ‾2.3931 [2 / 3 X ‾2.3931 = ‾4.7842 / 3 = (‾6 + 2.7842) / 3 = ‾2.9281]

= ‾2.9281

=> x = antilog ‾2.9281 = 0.08474

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