Jon and Bruce

Bruce’s friend Jon came up with a problem, where he was given a decimal number $N$ and he has to find the number of digits of the equivalent $B$ base number. $B \ge 2$. Base signifies the number of symbols in a number system. Like **Binary**(base=$2$) systems have two symbols $(0, 1)$, **Octal**(base=$8$) systems have $8$ symbols $(0, 1, 2, ....., 7)$, so a $B$ base system has $B$ number of symbo