How to prove that 1/4 < log2 < 1/3 ?

m12: 1/4 < log2 < 1/3 

3 < 12log2 < 4 

3 < log2^12 < 4 

3 < log 4096 < 4 

10^3 < 10^log 4096 < 10^4 

1,000 < 4096 < 10,000 

:)