Answer:
f(9) = 2
Explanation:
To know what if f(9), we need to replace x by 9 on the equation of f(x), so:
[tex]\begin{gathered} f(x)=\log _3x \\ f(9)=\log _39 \end{gathered}[/tex]Then, the logarithm needs the number at which 3 to the power of this number is equal to 9.
Therefore:
[tex]f(9)=\log _39=2[/tex]Because:
[tex]3^2=9[/tex]So, the answer is:
f(9) = 2