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

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1. 

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

Answer: Option C

Explanation:

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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