What is the inverse of $y=3ln(x+2)$ ?

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Answer 1 · 2016-01-04T21:53:05

$y=e^(x/3)-2$

Swap the $x$ and $y$ and solve for $y$ .

$x=3ln(y+2)$

$x/3=ln(y+2)$

To undo the natural logarithm, exponentiate both sides with base $e$ . This undoes the natural logarithm altogether.

$e^(x/3)=y+2$

$y=e^(x/3)-2$

What is the inverse of y=3ln(x+2)y=3ln(x+2) ?