Answer
$h^{-1}(x) = \log_6 x$
Work Step by Step
$h(x) =6^{x}$
Let $h(x) = y$
$y = 6^{x}$
Swap the $x$ and $y$ variable to find the inverse:
$x =6^{y}$
$y = \log_6 x$
$h^{-1}(x) = \log_6 x$
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