Formula for Damping f times

Hi,
This is a semi-trivial but I can't quite remember the answer, even
though I've done it before.

I have an update function sort of like this..

void updateX( float deltaTime)
{
	x = x*k;
}

k is a constant less than 1.0.

Now to do the damping properly I need to perform "x=x*k" deltaTime
times, where deltaTime is a fraction.

Can anyone help with this please? I recall it just being a log or
something.

Cheers
Zafar Qamar
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