logarithm express $q^{q+2}$ in term of $p$.

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Given $p=3^q$, express $q^{q+2}$ in terms of $p$.

I only performed until here, but the answer given is $81p^2$. I've no idea how to continue then.

${log_3p}^{log_3p+2}={log_3p^{log_3p}}{{log_3p}^2}$

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Well $q = \log_3 p$ so ... what more do you need to be able to do this?