Logarithms-19

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If log 10 4 = 0.6020 ; find the value of :

(i) log 10 8 ; (ii) log 10 2.5

If log 10 4 = 0.6020

=> 2 log 2 = 0.6020

=> log 2 = 0.6020 / 2 = 0.3010

Therefore, (i) log 10 8 = log 10 2 3

= 3 log 10 2

= 3 X 0.3010 = 0.9030

(ii) log 10 2.5 = log 25 / 10 = log 5 / 2 = log 10 / (2 X 2)

= log 10 - 2 log 2 = 1 - 2 X 0.3010 = 0.3980

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