Hi all,

What's the best way to work out log's without a calculator / other aids?

The question is $\displaystyle \log_{8}\frac{1}{4}$ what is the answer.

I know the answer is $\displaystyle -\frac{2}{3}$ and I can work it out simply on a calculator. How do I do it without though?

I'm not sure the working method (without trial and error), any help would be appreciated. Sorry if it's pretty basic.