



So what
about the derivative of Log_{8}X ?






Putting
this in an equation, it would be: 


Y = Log_{8}X






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 log_{8}X 








copyright 2005 Bruce Kirkpatrick 
