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

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Question:
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