Without the use of calculator how to calculate $\log\_{10} ~2$, $\log\_{10} ~3$?



Without the use of a calculator, how to calculate the logarithm of 2 and 3 in base 10
See the note


N. David Mermin: Logarithms!, *Am. J. Phys.* **46** (1978), 101-105 
(<http://dx.doi.org/10.1119/1.11104>).


