Question

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
A.2.87
B.2.967
C.3.876
D.3.912

Answer 1

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Answer 2

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
A.2.87
B.2.967
C.3.876
D.3.912

Answer: C)3.876

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log5 512

= log512/log5

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

= 9 log 2 / log 10 - log 2

= 9 × 0.3010 / 1 - 0.3010

= 2.709/0.699

= 2709/699

= 3.876

Hence, the value of log5 512 is 3.876