title: Master theorem with logn
body: <p>Here's a <a href="https://imgur.com/4FqgCYr" rel="nofollow noreferrer">problem</a>.</p>
  
  <p><img src="https://i.stack.imgur.com/R7z7g.png" alt="enter image description here"></p>
  
  <p>I am really confused about the <code>c</code> being equal to <code>0.5</code> part. Actually overall I am confused how the <code>logn</code> can become <code>n^(0.5)</code>. Couldn't I just let <code>c</code> be equal to <code>100</code> which would mean <code>100 &lt; d</code> which results in a different case being used? What am I missing here?</p>