A)2.02
Explanation
Step 1
given
[tex]3^x=9.2[/tex]
a) write the rigth side of the equation as a fraction
[tex]9.2=\frac{92}{10}=\frac{46}{5}[/tex]
hence
[tex]3^x=\frac{46}{5}[/tex]
b) take the logarithms in both sides
[tex]\begin{gathered} 3^x=\frac{46}{5} \\ \ln3^x=ln\frac{46}{5} \\ apply\text{ the property} \\ x=log_3(\frac{46}{5}) \\ x=2.02 \end{gathered}[/tex]
so, the answer is
A)2.02
