I have not used a paper log book for several years now.
I simply duplicated the columns from my last paper log book in an excel document, set it up to do the simple sums, and to keep track of any special totals I was interested in....
Easy, free, and stored in a format which will still be accessible years from now. It does not rely on software which might not run on future operating systems.
I make many backup copies, stored in different locations and on different media. I also have a printed copy.
Incidentally, I also have scanned copies of my old paper log books stored in the same way. So I always have copies of everything wherever I go.