Change of Base - Wikipedia
Change of Base - questions rewritten:
If you know even a little about logs then you should be able to answer the following question:
What is log to base 10 of 1000?The blindingly obvious answer is three.
Here are two additional ways of phrasing things to get an answer:
- To what power do we raise 10 so as to obtain 1000
- How many zeros in 1000
Assuming your calculator only does natural log (log to base e) use Change of base:
log to base 10 of 1000 is (log to base e (1000))/(log to base e (10)) = 3
Pari / GP - an example using x=1+1365*2^15
Pari / GP is a number theory program. It is designed for working Mathematicians / Number theorists, and is most useful to folks comfortable with Mathematical theory.
It is not designed, primarily, as a 'user friendly calculator replacement' for lay folks.
Now using x as given above - what is log to base 2 of x?
If you want that Answer as a continued fraction then Wolfram Alpha can do that.