What is number of digits in the expansion of $$125^{100}$$ ? (Given $$log_{10}2=0.301$$ )

Let ,

       Log y = 100log125

       Log y = 100[log

       Log y = 100[log1000 – 3log 2]

       Log y =100[ 3 – 3log 2]

       Log y =100[ 2.097]

       Log y = 209.7 =  210

  So, Number of digits is  210.

Answer (D) – 210