LogInt( n, base )
LogInt returns the integer part of the logarithm of the positive
integer n with respect to the positive integer base, i.e., the
largest positive integer exp such that base^{exp} <= n. LogInt
will signal an error if either n or base is not positive.
gap> LogInt( 1030, 2 );
10 # $2^{10} = 1024$
gap> LogInt( 1, 10 );
0
GAP 3.4.4