Log scales = animation scales?

[David Bovill]

I am playing with some animation "zoom" effects - and have a maths question.
Say I want to scale something between 1 and 72 in10 steps - so i need to
generate a series of numbers between 1 and 72. Now i could just say each
step is 7 - but more natural would be for it to start slower and get faster
so i want an exponential series with 10 steps or something like that :)

Are there any ideas for natural type movements - straight acceleration
(maybe with ease in and / or ease out)?