Hello FreemasonFurbie
Welcome to Math Help Forum! 
Originally Posted by
FreemasonFurbie
Howdy folks. First time poster here
Have a bit of a problem and can't seem to figure the correct way to solve it
I'm looking for Ka
0.93Ka - 1.969 = -e^(-2Ka)
Any ideas in how to solve it? I was planning on taking LN of both sides, but that still leaves me with LN of Ka on one side with Ka on the other side of the equation, which is practically the same.
You won't be able to find an algebraic solution. Your best bet is a numerical method. With a spreadsheet, I've just found a couple of solutions: one negative and one positive. To 4 d.p. they are:
$\displaystyle K_a=-0.4315, \;+2.1011$
I hope that helps.
Grandad