SOLUTION: ln1/x = 2

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: ln1/x = 2      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 35821: ln1/x = 2
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
ln+%281%2Fx%29+=+2

First, raise both sides as a power of e, to undo the ln.
e%5E%28ln+%281%2Fx%29%29+=+e%5E2
1%2Fx+=+e%5E2 or 1%2Fx+=+%28e%5E2%29%2F1

There are several ways to do the next step. I like to invert both sides of the equation. In other words, if two quantities are equal, then their reciprocals are also equal. Flip both sides:
x%2F1+=+1%2F%28e%5E2%29 or x+=+e%5E-2

Unfortunately, I left my calculator at the office today, so you'll have to do the calculation yourself.

R^2 at SCC