Question

Having trouble question is in attachment

Answer 1

`x=(35)/(9) .`

Explanation:

`(3√(3))^(-x+1) =(1)/(3)*27^(x-5)\\( √(3^2*3)) ^(1-x)=(1)/(3) *((3)^3)^(x-5)\\(√(27) )^(1-x)=(1)/(3)*3^(3*(x-5))\\ (√(3^3))^(1-x) =(1)/(3)*3^(3x-15)\\ 3^{(3 )/(2)*(1-x)}=(1)/(3)*3^(3x-15)\ |*3\\ 3*3^{(3)/(2)-(3)/(2)x}=3^(3x-15)\\ 3^(1+1,5-1,5)=3^(3x-15)\\ 3^(2,5-1,5x)=3^(3x-15)\ \ \ \ \Rightarrow\\2,5-1,5x=3x-15\\4,5x =17,5\ |*2\\9x=35\ |:9\\x=(35)/(9).`