Can GAP compute logarithms?

Question

I have been using GAP lately and I know how to compute logarithms, but only in some cases by using the function LogInt(n,b).

So for example if $n=5^8$ and $b=5$, then

LogInt($5^8$, $5$)=$8$.

But imagine I want to compute $\log_3(5)=1,46...$. If I put LogInt($5$, $3$) I get $1$. Is there any function or package that can give me a better approximation?

Thank you!

I do not think that GAP is designed for those tasks , it deals mainly with groups. PARI/GP fits far better for such calcaultions. — Peter, Dec 05 '22 at 10:36
Have a look at the section on floats in the documentation. While it's definitely not GAP's strong suit, it can do some operations on floating-point numbers (IIRC, it wasn't always so). — Jean-Claude Arbaut, Dec 05 '22 at 10:39
the natural log command in GAP is just Log, and you can compute logs in other bases using that — Matthew Towers, Dec 05 '22 at 10:48

score 0 · Answer 1 · answered Dec 11 '22 at 13:32

As far as i have found, GAP's standard mathematical operations for Floats (Link to documentation) only includes:

Log(); Natural logarithm
Log2(); Logarithm base 2
Log10(); Logarithm base 10
Log1p(); Logarithm base ??

Besides that i didn't found any libaries for other logarithms

Can GAP compute logarithms?

1 Answers1