Arithmatical - Logarithms

DIRECTIONS : Problems based on Logs.
16. If log 2 = 0.3010 and log 3 = 0.4771, the values of
log5 512 is
  A.  2.870
  B.   2.967
  C.  3.876
  D.  3.912
Solution
log 5512 = log 512/log 5
‹=›9 log2 /log 10 - log 2
=(9 ×0.3010)/(1 - 0.3010)
‹=› 2.709/0.699
= 3.876.
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