SOLUTION: 25 base 4t+1 greater than or equal to 125 base 2t

That is NEVER true!

However,

25 base 4t+1 less than or equal to 125 base 2t

is ALWAYS true!

Proof:



is true if and only if



which is true if and only if



which is true if and only if



which is true if and only if



which is true if and only if



which is true if and only if



which is true for all positive integers 

Edwin