Can you, without using a calculator, arrange these logarithms into order of increasing value?

\[\log_{4} 5 \quad \log_{2} 5 \quad \log_{3} 4 \quad \log_{3} 3 \quad \log_{3} 5 \quad \log_{2} 4 \quad \log_{2} 3\]

If you have completed Logarithm lattice, you will have put some of these logarithms in order already, but here we explore some different methods.

You might find it helpful to have the logarithms written or printed on cards that you can rearrange as you sort them.