Question

Find a formula for the inverse of the function:
y=ln(x+3)

Answer 1

Let \(y=\ln(x+3)\). Then, to find its inverse, let \(x=\ln(y+3)\) and solve for \(y\). Can you do that?

Answer 2

x = lny + ln3
x - ln3 = lny

Answer 3

the terms on the right side of the equation will add like you did only when they multiply i.e. ln(yx3) not for this case.

Answer 4

I'm not sure how to do it otherwise. I don't think you could do:
y/(x+3)=ln

Answer 5

you can write
\[e ^{x}=y+3\] I think this might help.

Answer 6

As @pradipgr817 implied, \(e^{\ln x}=\ln e^x=x\).