I personally didn't come across one but here is what you do:
Say you need to estimate -log(5x10^-3)
By the log rule, that = -(log(5) + log(10^-3))
= -log(5) - (-3)log(10)
= -log(5) + 3log(10)
= 3 - log(5)
And since 0 < log(5) < 1 (as 5 is between 1 and 10), then your answer lies somewhere between 2 and 3. With that estimate you should be able to get your answer.