SOLUTION: What is the inverse of the function y=2ln(x-5) My answer choices are: A) y= (x/ln2)+5 B) x= (y/ln2)+5 C) y= 2e^(x-5) D) y= e^(2x)+5 E) y= e^(0.5x)+5 I think it's A but

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: What is the inverse of the function y=2ln(x-5) My answer choices are: A) y= (x/ln2)+5 B) x= (y/ln2)+5 C) y= 2e^(x-5) D) y= e^(2x)+5 E) y= e^(0.5x)+5 I think it's A but      Log On


   



Question 198621: What is the inverse of the function y=2ln(x-5)
My answer choices are:
A) y= (x/ln2)+5
B) x= (y/ln2)+5
C) y= 2e^(x-5)
D) y= e^(2x)+5
E) y= e^(0.5x)+5
I think it's A but I'm not sure. Please help!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the inverse of the function y=2ln(x-5)
My answer choices are:
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To find the inverse, interchange x and y to get:
x = 2ln(y-5)
Solve for "y":
ln(y-5) = x/2
y-5 = e^(x/2)
y = e^(x/2)+5
y = e^(0.5x) + 5
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The answer is E.
Cheers,
Stan H.
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A) y= (x/ln2)+5
B) x= (y/ln2)+5
C) y= 2e^(x-5)
D) y= e^(2x)+5
E) y= e^(0.5x)+5