Welcome to the NavList Message Boards.

NavList:

A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

Compose Your Message

Message:αβγ
Message:abc
Add Images & Files
    or...
       
    Reply
    Re: napier and logarithms
    From: Dave Walden
    Date: 2009 May 28, 10:40 -0700

    A number with 3011 places must be between 1*10**3010 and 10*10**3010.  Or 
    equivalently, between 10**3010 and 10**3011.  Since this is 2**10,000, let's 
    take the 10,000th root of both sides.
    
    If lower end of range:
    
      2**10,000 = 10**3010
    
    take the root by dividing the exponents by 10,000:
    
     2**(10,000/10,000)=10**(3010/10,000)
    
     2**1=10**.3010
    
     2=10**.3010
    
     log 2 =.3010
    
    If upper end of range, same method;
    
     log 2 =.3011
    
    So it's somewhere in between.  Why not guess .30105?  In fact, 10**.30105=2.000092126 or so.
    
    
    --~--~---------~--~----~------------~-------~--~----~
    Navigation List archive: www.fer3.com/arc
    To post, email NavList@fer3.com
    To unsubscribe, email NavList-unsubscribe@fer3.com
    -~----------~----~----~----~------~----~------~--~---
    
    

       
    Reply
    Browse Files

    Drop Files

    NavList

    What is NavList?

    Join NavList

    Name:
    (please, no nicknames or handles)
    Email:
    Do you want to receive all group messages by email?
    Yes No

    You can also join by posting. Your first on-topic post automatically makes you a member.

    Posting Code

    Enter the email address associated with your NavList messages. Your posting code will be emailed to you immediately.
    Email:

    Email Settings

    Posting Code:

    Custom Index

    Subject:
    Author:
    Start date: (yyyymm dd)
    End date: (yyyymm dd)

    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site