# Logarithms-24

### From Homeworkwiki

**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**