How do you find the inverse of $f(x) = ln(5x)$ ?

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Answer 1 · 2016-11-14T10:49:17

$f^(-1)(x) = e^y/5$

$" "$
$y = ln5x$
$" "$
$rArr e ^ y = e^ ln (5x)$
$" "$
$rArr e^ y = 5x$
$" "$
$rArr e^y/5 = x$

Hence, $f^(-1)(x) = e^y/5$

How do you find the inverse of f(x) = ln(5x)f(x) = ln(5x)?