SOLUTION: Please help w/ the following: e^-3x=3.1 Thank you.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help w/ the following: e^-3x=3.1 Thank you.      Log On


   

Question 54888: Please help w/ the following:
e^-3x=3.1

Thank you.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%28-3x%29=3.1 Take the natural log of both sides.
ln%28e%5E%28-3x%29%29=ln%283.1%29 Because highlight%28ln%28a%5Eb%29=bln%28a%29%29
-3xln%28e%29=ln%283.1%29 Because highlight%28ln%28e%29=1%29
-3x%281%29=ln%283.1%29
-3x=ln%283.1%29
-3x%2F-3=ln%283.1%29%2F-3
x=ln%283.1%29%2F-3
x=1.131402111%2F-3
highlight%28x=-.3771340372%29
Happy Calculating!!!