### 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!