Find a formula for the inverse of the following equation:

Question

anonymous · Answer

$\ \huge y=ln(x+3) $.

anonymous · Answer

Let f(x) = ln(x + 3)
ff^-1 (x) = x
ln(f^-1(x) + 3) = x
f^-1(x) + 3 = e^x
f^-1(x) = e^x - 3
The inverse of y is e^x - 3

anonymous · Answer

?
Don't you just need to switch the x and y around, and then simplify?

anonymous · Answer

I don't really understand what you did...

anonymous · Answer

No, @seashell your previous answer was the correct answer, but I don't understand how you got to it

anonymous · Answer

i just understand it this weird way :/

anonymous · Answer

ln (x+3)=y

just take the e^() eponent of both sides

e^(ln (x+3))=e^y

x+3=e^y   left hand side turns to x+3
x=e^y-3   subtract from both sides 3

now you can swap variables
y=e^x-3

Hope I got it right