Which expression could she input into her calculator to find this value

We can use the following property:
[tex]\log _b(x)=\frac{\log _a(x)_{}}{\log _a(b)}[/tex]So:
[tex]\log _{12}(81)=\frac{\ln(81)}{\ln(12)}=\frac{\log (81)}{\log (12)}[/tex]Answers:
[tex]\begin{gathered} \frac{\log (81)}{\log (12)} \\ \\ \frac{\ln (81)}{\ln (12)} \end{gathered}[/tex]