how to find the value of logarithamic numbers

ex: log2=1.3010 … prove it_____?

my brother why do u need it’s prove ?

R U doing Ph.D. ? Bcoz otherwise u dont need its proof.

I am sry but ya seriously no need for proof. I am sry cant help u with the proof of this.

please brother  if  any one knows its proof  write here........ its important to me  i  learnt some trics in mathematics … i want to learn more trics in maths so please give me answere for this question..

 

       pls^{100000000000000000000000000000000000000000}