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****=((DCR****Mg***) - (DCR**MgAl**)) ***∗ e^(-B∗((ρ****Mg****)+(ρ****Al****)****))+ ***((DCR**MgAl** )- (DCR**Al ***))∗****e^(-2∗B∗(ρ****Mg****) )+****((DCR***Al**) - (DCR**Mg**)) ***∗****e^(-B∗****((****ρ****Mg****)****+****(****ρ****MgAl****))****)**

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.

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?

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

Is Al one variable or it is A*L

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****=((DCR****Mg***) - (DCR**MgAl**)) ***∗ e^(-B∗((ρ****Mg****)+(ρ****Al****)****))+ ***((DCR**MgAl** )- (DCR**Al ***))∗****e^(-2∗B∗(ρ****Mg****) )+****((DCR***Al**) - (DCR**Mg**)) ***∗****e^(-B∗****((****ρ****Mg****)****+****(****ρ****MgAl****))****)**

D|C|R=0

This eq simplifies to:

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

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