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If $f(x)=\log _a x$ and $F(x)=a^x$, then $F[f(x)]$ is
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$f[F(x)]$
$\begin{aligned} & F[f(x)]=F\left(\log _a x\right)=a^{\log _a x}=x \\ & f[F(x)]=f\left(a^x\right)=\log _a a^x=x \log _a a=x\end{aligned}$
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