(New page: I can't get anywhere on number 2. ~~~~)
 
Line 1: Line 1:
 
I can't get anywhere on number 2. [[User:Idryg|Idryg]] 21:44, 6 October 2008 (UTC)
 
I can't get anywhere on number 2. [[User:Idryg|Idryg]] 21:44, 6 October 2008 (UTC)
 +
 +
* Number 2 is the one with <math>\log_a2</math> and you have to find <math>\lim_{a\to\inf}\log_a2</math> and other limits as a approaches different values.
 +
 +
Remember the change of base formula.  Then this problem is a cinch.
 +
 +
<math>\log_ab=\frac{\log_cb}{\log_ca}=\frac{\ln{b}}{\ln{a}}</math>
 +
 +
Once you convert the format over to a fraction of natural logs, the problem is much easier.

Revision as of 04:54, 7 October 2008

I can't get anywhere on number 2. Idryg 21:44, 6 October 2008 (UTC)

  • Number 2 is the one with $ \log_a2 $ and you have to find $ \lim_{a\to\inf}\log_a2 $ and other limits as a approaches different values.

Remember the change of base formula. Then this problem is a cinch.

$ \log_ab=\frac{\log_cb}{\log_ca}=\frac{\ln{b}}{\ln{a}} $

Once you convert the format over to a fraction of natural logs, the problem is much easier.

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal