Logarithms-25

From Homeworkwiki

Evaluate :

(i) (6.32) ³ X (83.94) ^{1 / 4}

(ii) [(17.42) ^{2 / 3} X 18.42] / (126.37) ^{1 / 2}

Solution:

(i) Let x = (6.32) ³ X (83.94) ^{1 / 4}

=> log x = 3 log 6.32 + (1 / 4) log 83.94

= 3 X 0.8007 + (1 / 4) X 1.9240

= 2.4021 + 0.4810

= 2.8831

=> x = antilog 2.8831 = 764.0

(ii) Let x = [(17.42) ^{2 / 3} X 18.42] / (126.37) ^{1 / 2}

Therefore, log x = (2 / 3) log 17.42 + log 18.42 - (1 / 2) log 126.4

= (2 / 3) (1.2410) + 1.2653 - (1 / 2) (2.1018)

= 0.8273 + 1.2653 - 1.0509 = 1.0417

Therefore, x = antilog 1.0417 = 11.01