Question

I'm trying to find the inverse of an equation and I'm not sure what to do next. http://oi43.tinypic.com/xldkhu.jpg

Answer 1

how u got x= 3ln y ?

Answer 2

f(x) = 3+ ln x
y= 3+ ln x
interchange 'x' and 'y'
x = 3+ ln y
can u try to isolate 'y' from here ?

Answer 3

(I'm just a tard who makes mistakes too often on her math homework...)
Right now I have x-3=lny.

Answer 4

Not sure what to do now

Answer 5

you are correct till that step!
now use this :
\(\large a= \ln b \implies e^a = b\)
from the definition ,
so what about (x-3) = ln y ?

Answer 6

\[y=e ^{x-3}\]

Answer 7

Is that the right answer?

Answer 8

absolutely! thats your inverse function :)

Answer 9

Thanks for the help! :)

Answer 10

welcome ^_^