User blog comment:Eners49/Log 2-10 Constant/@comment-35392788-20180601102640

it's easy to see that your "constant" is not really special.

You probably know that log_a(x)/log_a(b) = log_b(x)

replace "a" by 2, "b" by 10 and we can see that log_2(n)/log_2(10)=log_10(n)

With some algebraic manipulation, we can see that your number is 1/log_2(10).