Given:
[tex]log_3(x-2)=2[/tex]
Required:
Find the value of x.
Explanation:
The given equation is
[tex]log_3(x-2)=2[/tex]
Use the following logarithm property.
[tex]\begin{gathered} log_bx=a \\ x=b^a \end{gathered}[/tex][tex]\begin{gathered} x-2=3^2 \\ x-2=9 \\ x=9+2 \\ x=11 \end{gathered}[/tex]
Final answer:
Option D is the correct answer.
