Fully expand log(3)9xy

a. log(3)2x+log(3)2y
b. 2log(3)x+log(3)y
c. 2+log(3)x+log(3)y

Thanks!

2+log(3)x+log(3)y

Do you mean Log3(2x) + Log3(2y)?

Your notation leaves a lot to be desired!

Log3 is the symbol for the Logarithm of base 3. That is, Log3(x) = k, means 3^k = x

Use the basic principles of Logarithms to get
Log3(2x) + Log3(2y)= Log3(2x*2y) = Log3(4xy)