Thread: How to solve a complex exponential equation with one unknown???

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)))

replacing various constants with single letters, this is

where , , , and .

If we further write that equation reduces to which can be solved for y using the quadratic formula. Once we have , and then .

Thank you for your help HallsofIvy. Could you possibly re-write the equation as 'B=.......' I am struggling with this....
'

I have been recently told that this equation must be solved using Excel Solver. I have no idea how to use this program in order to calculate B.
I have created an excel formula relative to the above equation, but I am stuck at this point. Are you able to show me how you would solve the equation for B in Excel Solver?

=(B50-C50)*EXP(-B*($H$44+$I$44))+(C50-D50)*EXP((-2*B($H$44)))+(D50-B50)*EXP((-B($H$44+$J$44)))

You can use exact solutions given here in your Excel module.

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