Calculus Logs With Bases Other Than e
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Log'n
Logs With Bases Other Than e

 

 So what about the derivative of Log8X ?

 
 Putting this in an equation, it would be:

 Y = Log8X

 
 Now we already know how to find the derivative of ln X, so we have a choice.
 We can convert the log base on this and use the steps we already know,
 or try to figure out a new way to use on these.
 
 Here's a real shock...
 We're just going to change the base.
 
 The rule on changing bases is:

 

 
 ln a is a constant, so when we find a derivative we can basically ignore it.
 

 

 
 The derivative of ln X is 1/X, so we can say:

 

 
 So lets do a problem already!!!
 
 Example:
 Find the derivative of log8X

 

 

   copyright 2005 Bruce Kirkpatrick

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