SOLUTION: Find the inverse of: f(x)=lnx+4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the inverse of: f(x)=lnx+4      Log On


   

Question 926127: Find the inverse of: f(x)=lnx+4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to assume that the function is f%28x%29=ln%28x%29%2B4


Basic outline: replace f(x) with y, swap x and y, then solve for y.


f%28x%29=ln%28x%29%2B4 Start with the given function.


y=ln%28x%29%2B4 Replace f(x) with y.


x=ln%28y%29%2B4 Swap x and y. The goal is to solve for y.


x-4=ln%28y%29 Subtract 4 from both sides.


ln%28y%29=x-4 Flip the equation.


y=e%5E%28x-4%29 Convert to exponential form to solve for y.


So the inverse function is

------------------------------------------------------------------------------------------------------------------------

If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).

Alternatively, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.

Jim
------------------------------------------------------------------------------------------------------------------------