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


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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