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