SOLUTION: How do you Solve this Equation LNe^x2=16? Find the Inverse of y=4x/x-2 and Check?

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: How do you Solve this Equation LNe^x2=16? Find the Inverse of y=4x/x-2 and Check?      Log On

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

   


Question 65308: How do you Solve this Equation LNe^x2=16?
Find the Inverse of y=4x/x-2 and Check?

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
I am guessing x2 means x^2 ....
LNe^(x2) = 16
x^2 = 16
x = +- 4
Inverse:
y = 4x/(x - 2)
x = 4y/(y - 2)
x(y - 2) = 4y
xy - 2x = 4y
xy - 4y = 2x
y(x - 4) = 2x
y = 2x/(x - 4)
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%2C2x%2F%28x+-+4%29%2C4x%2F%28x+-+2%29%29