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Logarithm - General Aptitude

Q1:

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

A 2.870

B 2.967

C 3.876

D 3.912

ANS:C - 3.876

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