Question

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

Answer 1

We can use the following property:

$\log _b(x)=\frac{\log _a(x)_{}}{\log _a(b)}$

So:

$\log _{12}(81)=\frac{\ln(81)}{\ln(12)}=\frac{\log (81)}{\log (12)}$

Answers:

$\begin{gathered} \frac{\log (81)}{\log (12)} \\ \\ \frac{\ln (81)}{\ln (12)} \end{gathered}$