How do you find the inverse of $f(x) = 18 + ln(x)$ ?

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Answer 1 · 2016-02-04T15:19:50

$y=e^(x-18)$

Start from the given equation:

Let $y=f(x)$

$y=18+ln x$

interchange the variables

$x=18+ln y$

Solve for y in terms of x:

$x-18=ln y$

$e^(x-18)=e^ln y$

$e^(x-18)=y$

$y=e^(x-18)$

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How do you find the inverse of f(x) = 18 + ln(x)f(x) = 18 + ln(x)?