February 20th, 2015, 04:17 PM  #1 
Newbie Joined: Feb 2015 From: Milwaukee Posts: 4 Thanks: 0  Logarithm issues
Hello, Can somebody please help walk me through the following? 1) If f(x) = ln(x), find f(sqrt e) 2) if f(x) = 10^x, find f(log 2) Any help would be very much appreciated!! Thanks, Phil 
February 20th, 2015, 04:51 PM  #2 
Newbie Joined: Feb 2015 From: Milwaukee Posts: 4 Thanks: 0 
I think I got them figured out if anyone can validate. For the first one, I did f(√e) = ln(√e) = ln(e^1/2) = 1/2lne = ½ ∙1 = 0.5 and for the second one I did f(log 2) = 10^(log 2) = 2. 
February 20th, 2015, 04:57 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,754 Thanks: 695 
$\displaystyle ln(\sqrt e)=\frac{ln(e)}{2}=\frac{1}{2}$ $\displaystyle log(10^x)=x,log(10^{log(2)})=log(2),10^{log(2)}=2$ 
February 20th, 2015, 05:03 PM  #4 
Newbie Joined: Feb 2015 From: Milwaukee Posts: 4 Thanks: 0 
Hey mathman, I really appreciate you jumping in here. After a little persistence and some fresh air, then coming back to it, I was able to work through them. Thanks!!! Phil 

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