Full solutions are not to be shared on this forum.
I will get you started on Q7.
3^(2x+1) * 9^x = 27
3^(2x+1) * (3^2)^x = 27
3^(2x+1) * (3^2x)= 27
Can you use the law a^b * a^c = a^ (b+c) now?
Can you therefore solve for x subsequently using simple logarithms?
Peace.