If log 2 = 3010 and log 3 = 4771, the value of log5 512 is:

A    2.870

B    2.967

C    3.876

D    3.912

Solution

Correct Answer: Option C

 

log5 512 = log 512/log 5

= log 29/ log (10/2)

= (9 log 2)/( log 10 - log 2)            

= (9 x 0.3010)/(1 - 0.3010)

= 2.709/0.699

= 2709/699

= 3.876

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