college algebraI really need help!!
posted by Ladybug on .
solve the following exponential equation. exact answers only.
19x 2x
2 = e
I hope that you understand this question. I don't and need some help please. Can you show all answers please.

Um....where does 19x and 2x connect? Are they just separate algebraic expressions? And where does e come into play? Thanks

Ok, it didn't turn out right. This is the question.
2 with the 19x above the 2 = e with 2x above the e.
Hope this makes more sense now and you can help me and show me how you came about getting the answers.
Thanks!!!! 
2^(19x) = e^2x ??? is that what you mean?
if so then
ln (e^2x) = 2x ln e = 2x
and
ln [ 2^(19x) ] = (19x) ln 2 = .693(19x)
so
2x = .693 (19x)
2x = .693  6.24 x
8.24 x = .693
x = .0841 
Yes, thanks. I am not quite sure how to make some of the signs when posting my questions here. I am probably older than most and really trying to learn to post them right. Is there a place that you might can refer me to, so that I can try and learn the right signs and symbols????