SOLUTION: 1. Solve for the variable ln ( e^x / e^2x+1 )= -x-1

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Solve for the variable ln ( e^x / e^2x+1 )= -x-1      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 88495: 1. Solve for the variable
ln ( e^x / e^2x+1 )= -x-1

Answer by ankor@dixie-net.com(12692) About Me  (Show Source):
You can put this solution on YOUR website!
ln ( e^x / e^2x+1 )= -x-1
:
Which is:
ln(e^x) - ln(e^(2x+1)) = -x - 1
:
x*ln(e) - (2x+1)*ln(e) = -x - 1; log equivalent of exponents
:
x*1 - (2x+1)*1 = -x - 1; remember that ln(e) = 1
:
x - 2x - 1 = -x - 1
:
-x - 1 = -x - 1
:
This indicates that x can be any value