Finding a formula using two other functions.

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I am trying to find a formula for $p(x)$, but I am not seeing where to start.

I have two functions $m(x)=9*27^x$ and $n(x)=9^x$

I need to find the formula for function $p(x)$ if $m(x) = p(n(x))$

I'm sure it is something simple I just can't get it to click.. Any help would be appreciated, thanks!

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Let $p(x)=9 \cdot 27^{\ln x/\ln 9}$.

Then $p(n(x))=p(9^x)=9 \cdot 27^{ln 9^x/\ln 9}=9 \cdot 27^{x\ln 9/\ln 9}=9 \cdot 27^x=m(x)$.