Question

9 to the x-5 power=27

Answer 1

`9^(x-5)=27\\ 3^(2(x-5))=3^3\\ 2(x-5)=3\\ 2x-10=3\\ 2x=13\\ x=(13)/(2)`

Answer 2

`9^(x-5) =27 \\\\ 3^(2(x-5))= 3^3 \\\\ 2(x-5)=3 \\\\ 2x-10=3 \\\\ 2x=3+10 \\\\ 2x=13 \\\\ \boxed{x=(13)/(2)}`