Answer
False
Work Step by Step
False.
The reflection of $g(x)=6^x$ in the $x$-axis where the function $f$ must be symmetric with $g$ with respect to $x$-axis is:
$$-f(x)=6^x$$ $$f(x)=-6^x$$ so not the function $f(x)=\log_6 x$.
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