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Question

If log72=m, then log4928 is equal to
  1. 2(1+2m)
  2. 1+2m2
  3. 21+2m
  4. 1+m


Solution

The correct option is B 1+2m2
log49 28=log 28log 49=log 7+log 42 log 7
=log 72 log 7+log 42 log 7=12+12log7 4
=12+12.2 log7 2=12+log7 2=12+m=1+2m2

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