Logarithms-22

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(i) Divide : 3.28 by 0.7594 (ii) Compute : 40.67 X 0.363 / 1.47 (iii) Compute : 5.67 / (0.304 X 45.42)

Solution: (i) Let x = 3.82 / 0.7594

=> log x = log 3.84 - log 0.7594

= 0.5821 - ‾1.8804

= 0.7017

Therefore, x = antilog 0.7017 = 5.031

(ii) Let x = 40.67 X 0.363 / 1.47

=> log x = log 40.67 + log 0.363 - log 1.47

= 1.6093 + ‾1.5599 - 0.1673

= 1.0019

Therefore, x = antilog 1.0019 = 10.04

(iii) Let x = 5.67 / (0.304 X 45.42)

Therefore, log x = log 5.67 - log 0.304 - log 45.42

= 0.7536 - ‾1.4829 - 1.6573

= ‾1.6134

=> x = antilog ‾1.6134 = 0.4106

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