SOLUTION: Find the inverse of the logarithmic function f(x)=-ln(x-2). Steps I've done so far: 1. f(x)=-ln(x-2) 2. y=-ln(x-2) 3. x=-ln(y-2) What is the next step? I am not sure what

Question 374584: Find the inverse of the logarithmic function f(x)=-ln(x-2).
Steps I've done so far:
1. f(x)=-ln(x-2)
2. y=-ln(x-2)
3. x=-ln(y-2)
What is the next step? I am not sure what to do with -ln.
My instructor said the answer is: y=e^-x+2 but I don't know how he gets the -x. I know ln also stands for e.
y=-e^x+2 makes more sense to me.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
After x = -ln(y-2):
-x = ln(y - 2). Then raise e to both these powers,
,
,
. This is the inverse function.
RELATED QUESTIONS
2 ln x + 3 ln... (answered by ankor@dixie-net.com)

ln (ln x) =... (answered by Fombitz)

Solve: log base 4 (X) + Log base 8 (x) = 1 ln X/ln 4 + ln X/ln 8=1 2 ln X/2 ln 4 + ln... (answered by Fombitz)

ln x^2+3 ln... (answered by Alan3354)

I'm trying to find the inverse of the following function: f(x)=ln(x-2)+1. Here's what I (answered by lwsshak3)

x= ln 3 + ln 4 - ln... (answered by jim_thompson5910)

how do I solve... (answered by stanbon)

y=-ln(x+2) (answered by longjonsilver)

Solve the logarithmic or exponential equation. ln(x +1) − ln(x − 2) = ln... (answered by jim_thompson5910)