Answer
The intersection point is $(\displaystyle \frac{11}{3},2)$.
The solution set is $\displaystyle \{\frac{11}{3}\}$.
Work Step by Step
The intersection point is $(\displaystyle \frac{11}{3},2)$.
The solution set is $\displaystyle \{\frac{11}{3}\}$.
Verify by inserting $x=\displaystyle \frac{11}{3}$
$LHS= \displaystyle \log_{3}(3\cdot\frac{11}{3}-2)=\log_{3}(11- 2)=$
$=\log_{3}9=\log_{3}3^{2}=2=RHS$
