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Problem 597

Posted: Tue Jan 21, 2020 7:00 am
by aTree
Clarification question:
Suppose that, in a particular race, each boat $B_j$ rows at a steady speed $v_j=−logX_j$ metres per second...
Is this log base 10 or base e?

Thanks.

Re: Problem 597

Posted: Tue Jan 21, 2020 7:01 am
by aTree
Forgot to include a link:
https://projecteuler.net/problem=597

Re: Problem 597

Posted: Tue Jan 21, 2020 9:24 am
by RobertStanforth
aTree wrote: Tue Jan 21, 2020 7:00 am Is this log base 10 or base e?
You can take it to be base $e$ ... but actually it doesn't matter because a different base would just scale all speeds by the same constant without affecting the sequence of events.

Re: Problem 597

Posted: Sat Jan 25, 2020 1:02 am
by aTree
RobertStanforth wrote: Tue Jan 21, 2020 9:24 am
aTree wrote: Tue Jan 21, 2020 7:00 am Is this log base 10 or base e?
You can take it to be base $e$ ... but actually it doesn't matter because a different base would just scale all speeds by the same constant without affecting the sequence of events.
Right, thanks. That was useful.