Answer :
Remember the following property of logarithms:
[tex]\log_a(b)=c\Leftrightarrow b=a^c[/tex]Notice that c is the exponent to which a must be elevated to in order to be equal to b.
Then:
[tex]3^x=4.6\Leftrightarrow x=\log_3(4.6)[/tex]Therefore, the answer is:
[tex]x=\log_3(4.6)[/tex]