title: If f(n)=O(g(n)), then shouldn't f(n)∗log2(f(n)^c)=O(g(n)∗log2(g(n))) depend on the value of C?
body: <p>If <code>f(n)=O(g(n))</code>, then shouldn't <code>f(n)∗log2(f(n)^c)=O(g(n)∗log2(g(n)))</code> depend on the value of C?</p>
  
  <p>Here C is a positive constant. According to me if C is large then the statement would become false and if c is small it'd be true. Hence the outcome is dependent on c.</p>
  
  <p>I am taking a class on algorithms and this is one of the questions I was asked. According to me this should be dependent on constant c but the answer was wrong.</p>