How to calculate log base 2 ?

The calculator we use, we can find the logarithmic operations like log base e and log base 10. So, the question arises what shall we do if we want to calculate log base 2 or log to the base any number other than log base e and log base 10. The answer is within your calculator. You just need to recall a logarithmic formula read in mathematics. The formula is :

                                       

                                       log_d(a) / log_d(b) = log_b(a)

So, if you want to calculate log(x) with base 2 then use the formula in your calculator as:

                  log₁₀(x) / log₁₀(2) = log₂(x)

or, you can use

                   ln(x) / ln(2)= log₂(x)

Similarly, you can calculate log to the base any number using above formula.

For example: 

                  log₂(4)= ln(4) / ln(2)=2

                          log₂(8)= ln(8) / ln(2)=3

                          log₂(3)= ln(3) / ln(2)=1.584962501