Answer:
[tex]n=1.77[/tex]Explanation: We have to solve the exponential equation, the equation provided is as follows:
[tex]9^n=49[/tex]We will resort to the logarithmic properties:
[tex]\begin{gathered} \log_9(9^n)=\log_9(49) \\ \\ n\operatorname{\log}_9(9^)=\operatorname{\log}_9(49) \\ \\ n=\frac{\operatorname{\log}_9(49)}{\operatorname{\log}_9(9^)} \\ \\ n=\log_9(49) \\ \\ n=1.7712437491614 \\ \\ n=1.77 \end{gathered}[/tex]