(Requires calculus) Suppose that f(x) is o(g(x)). Does it follow that log |f (x)| is o(log | g (x)|)?

Solution :Step 1:In this problem we have to show that logis Step 2:The definition for Big- O: Let f and g be functions from the real numbers to the real numbers. Then f is O(g) if there are constants c and kSuch that