Results 1 to 2 of 2

Math Help - Question on Logarithm

  1. #1
    Member
    Joined
    Oct 2006
    Posts
    185
    Thanks
    1

    Question on Logarithm

    If [I]x[I] is a n-digit whole number, write down the range of values of
    lgx. There are 168 digits in 47^100. How many digits are there in
    47^47?
    Extend the result in an appropriate manner.

    I got the answer, which is 79 digits.
    But I'm not sure how to extent the result. How to extend? Anyone can help?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    [quote=acc100jt;61258]If x is a n-digit whole number, write down the range of values of
    lgx.
    [quote]

    defined this way 10^{n-1}<n \le 10^n-1, so assuming that
    \lg denotes log to the base 10, we have:

    <br />
n-1< \log_{10}(n) < n <br />

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. logarithm question
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 5th 2011, 10:42 AM
  2. Logarithm question
    Posted in the Algebra Forum
    Replies: 4
    Last Post: May 7th 2011, 08:36 AM
  3. Logarithm question
    Posted in the Algebra Forum
    Replies: 6
    Last Post: April 6th 2010, 02:43 PM
  4. help with logarithm question,please help
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 7th 2009, 05:38 AM
  5. Logarithm question
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 30th 2008, 11:10 AM

Search Tags


/mathhelpforum @mathhelpforum