How do you find the inverse of #y=ln(x-2)#?

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Answer 1 · 2016-07-20T12:26:48

#y=e^x+2#

To invert a function, we want to flip it across the line y = x.

#y=ln(x-2)#

Swap x and y:

#x = ln(y-2)#

Take exponential of both sides:

#y-2 = e^x#

#y=e^x+2#

Plotting in Mathematica to check gives:

enter image source here

which looks about right.