Step 1: Write out the function
[tex]f(x)=3^x[/tex]
Step 2: Evaluate the functions at x=1,3,4 and 6
[tex]\begin{gathered} f(1)=3^1 \\ f(3)=3^3 \\ f(4)=3^4 \\ f(6)=3^6 \end{gathered}[/tex]
Step 3: Compute f(6)/f(4)
[tex]\frac{f(6)}{f(4)}=\frac{3^6}{3^4}=3^{6-4}=3^2[/tex]
Step 4: Compute f(3)/f(1)
[tex]\frac{f(3)}{f(1)}=\frac{3^3}{3^1}=3^{3-1}=3^2[/tex]
Step 5: Compare f(6)/f(4) and f(3)/f(1)
[tex]\frac{f(6)}{f(4)}=3^2[/tex][tex]\frac{f(3)}{f(1)}=3^2[/tex]
Therefore,
[tex]\frac{f(6)}{f(4)}=^{}\frac{f(6)}{f(4)}[/tex]
