Need help with my log derivatives

roquera87

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Joined
Oct 18, 2005
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Hey I'm new here so I hope I type everything right. I am currently taken Calculus in college and I know how to take derivatives of log functions but this one had me a little confused. I don't know how to separate this by using log properties inorder to make it easier to take the derivative.
Here's the problem:

Let
f(x)=ln [(8x-5)/(3x+3)]^(1/2)

Find the f'(x).

Thanks.
Lore
 
If f(x)=ln [(8x-5)/(3x+3)]<SUP>1/2</SUP>, then f(x)=(1/2)[ln(8x−5)]−(1/2)[ln(3x+3)].
 
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