### Number of digits in 125^100

Source: Asked to me by Suman Kalyan Bera (M.Tech Student IIT Delhi) on contact page Problem: How many digits does the number 125^100 have? Very interesting problem and equally interesting solution :) Update (25 December 2011): You are not allowed to use your high school notes on values of log_10(2) or log_10(5) Solution: Posted by me in comments!