SOLUTION: x=3(1-e^-2y) i have to express y in terms of x, ive read through the related chapter on exponential equations and i am having trouble making sense of it as the examples font cover

Algebra ->  Exponents -> SOLUTION: x=3(1-e^-2y) i have to express y in terms of x, ive read through the related chapter on exponential equations and i am having trouble making sense of it as the examples font cover       Log On


   

Question 779618: x=3(1-e^-2y) i have to express y in terms of x, ive read through the related chapter on exponential equations and i am having trouble making sense of it as the examples font cover it, any help would be awesome, cheers
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x+=+3%2A%28+1+-+e%5E%28-2y%29+%29+
+x%2F3+=+1+-+e%5E%28-2y%29+
+-+e%5E%28-2y%29+=+x%2F3+-+1+
+e%5E%28-2y%29+=+1+-+x%2F3+
+e%5E%28-2y%29+=+%28+3-x+%29%2F3+
Take the natural log of both sides
+-2y+=+ln%28+3-x+%29+-+ln%283%29+
+y+=+%281%2F2%29%2Aln%283%29+-+%281%2F2%29%2Aln%28+3-x+%29+