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

Let , $$y = 125^{100} $$

       Log y = 100log125

       Log y = 100[log$$\frac{1000}{8}$$]

       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