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November 17th, 2009, 02:29 PM  #1 
Newbie Joined: Nov 2009 Posts: 3 Thanks: 0  It is possible to rearrange n = ln(x)/ln(y) in terms of x/y?
I have tried to rearrange n = ln(x)/ln(y) in terms of x and y, used all the log and exponential rules that I know and I couldn't get anything. It's an expression that I have been trying to solve since last week so that I could get useful data from some kinetics experiments... Thank you very much for any help/suggestion in advance! 
November 17th, 2009, 03:39 PM  #2  
Global Moderator Joined: May 2007 Posts: 6,786 Thanks: 708  Re: It is possible to rearrange n = ln(x)/ln(y) in terms of x/y? Quote:
y^n=x  
November 18th, 2009, 04:30 AM  #3  
Newbie Joined: Nov 2009 Posts: 3 Thanks: 0  Re: It is possible to rearrange n = ln(x)/ln(y) in terms of x/y? Quote:
 
November 18th, 2009, 01:38 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,820 Thanks: 2159 
Why would you expect to? Wouldn't you fail also if you started with something simpler, such as y = nx²? What exactly did you mean by "get an expression in terms of x/y"? Would y = (x/y)^(1/(n  1)) count?

November 18th, 2009, 01:40 PM  #5  
Global Moderator Joined: May 2007 Posts: 6,786 Thanks: 708  Re: It is possible to rearrange n = ln(x)/ln(y) in terms of x/y? Quote:
y^(n1) = x/y  
November 18th, 2009, 04:20 PM  #6 
Newbie Joined: Nov 2009 Posts: 3 Thanks: 0  Re: It is possible to rearrange n = ln(x)/ln(y) in terms of x/y?
*Scratch head* Apologies in advance if I wasn't wording it properly  I have always been taught that rearranging an equation in terms of x means that you want x = R.H.S. where R.H.S. does not contain x. So what I meant by rearranging n = ln(x)/ln(y) in terms of x/y is an equation in the form of x/y = f(n)... I think; and that seems beyond me... :\ 
November 18th, 2009, 05:58 PM  #7 
Global Moderator Joined: Dec 2006 Posts: 20,820 Thanks: 2159 
That's not the usual meaning, but you already have x/y = y^(n  1). That equation implies n cannot stay the same when x and y are doubled unless n = 1. Hence an equation of the form x/y = f(n) is possible only if n has the fixed value 1, when 1 = ln(x)/ln(y) reduces to x/y = 1.


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