Answer :

[tex]A(x) = 3^x[/tex]

8 comes out so we know that
[tex]3^x = 8[/tex]

[tex]\implies \log{3^x} = \log{8}[/tex]

[tex]x\log{3} = \log{8}[/tex]

[tex]x = \frac{\log{8}}{\log{3}} [/tex]

[tex]x \approx 1.8928[/tex]
[tex]3^x=8\\ x=\log_38[/tex]