Answer:
x=10
Step-by-step explanation:
Start with
[tex]\log _3\left(2x-11\right)=2\\[/tex]
Convert log to exponential form, log base to the power of log exponent equals log argument:
[tex]3^2=2x-11[/tex]
Solve for x:
[tex]3^2=2x-11\\9=2x-11\\20=2x\\10=x[/tex]
