# Complex exponential equation with one unknown - 'B'. Please Help!!!

• October 11th 2012, 10:03 PM
LanieH
Complex exponential equation with one unknown - 'B'. Please Help!!!
I need to solve this equation for 'B'. I am having trouble rearranging the equation to achieve a 'B=' answer. Can someone help me rearrange this equation to solve for B?

0=((DCRMg) - (DCRMgAl)) ∗ e^(-B∗((ρMg)+(ρAl)))+ ((DCRMgAl )- (DCRAl ))∗e^(-2∗B∗(ρMg) )+((DCRAl) - (DCRMg)) e^(-B∗((ρMg)+(ρMgAl)))
• October 11th 2012, 10:07 PM
chiro
Re: Complex exponential equation with one unknown - 'B'. Please Help!!!
Hey LanieH.

Can you show us what you have tried? You might want to start off by moving the 2nd and later terms to the LHS and then taking logarithms.
• October 12th 2012, 05:00 AM
LanieH
Re: Complex exponential equation with one unknown - 'B'. Please Help!!!
Hi Chiro.
I have not even attempted to solve this. I do not know how to solve an equation like this for B. Are you able to give it a try? Do you know of anyone who may be able to solve this?
• October 12th 2012, 09:07 AM
MaxJasper
Re: Complex exponential equation with one unknown - 'B'. Please Help!!!
Is Al one variable or it is A*L
• October 12th 2012, 09:28 AM
MaxJasper
Re: Complex exponential equation with one unknown - 'B'. Please Help!!!
Quote:

Originally Posted by LanieH
I need to solve this equation for 'B'. I am having trouble rearranging the equation to achieve a 'B=' answer. Can someone help me rearrange this equation to solve for B?

0=((DCRMg) - (DCRMgAl)) ∗ e^(-B∗((ρMg)+(ρAl)))+ ((DCRMgAl )- (DCRAl ))∗e^(-2∗B∗(ρMg) )+((DCRAl) - (DCRMg)) e^(-B∗((ρMg)+(ρMgAl)))

D|C|R=0

This eq simplifies to:

$m g(1- a l) * e^{-b \rho ( m g+ a l)}+ a l( m g-1)*e^{-2b \rho m g}+( a l- m g) *e^{-b \rho m g( 1+ a l)}=0$

If you have numerical values of the parameters then b can be evaluated! otherwise I can't see a closed form solution(Angry)